Question

Yesterday, Sarah spent 35 and 1 over 2 minutes studying for a test. Emma spent 1 over 1 over 2
times that amount studying for a different test. How many minutes did Emma spend studying?

53 and 1 over 4 minutes


93 and 1 over 2 minutes

71 minutes


49 and 1 over 2 minutes


73 and 1 over 4 minutes

Answer 1

To find out how many minutes Emma spent studying, we need to multiply Sarah's study time by 1 and 1/2.

Emma's study time = (35 and 1/2 minutes) * (1 and 1/2)

First, let's convert the mixed numbers to improper fractions:
35 and 1/2 = (2 * 35) + 1/2 = 70 + 1/2 = 71/2
1 and 1/2 = (2 * 1) + 1/2 = 2 + 1/2 = 3/2

Multiply the fractions:
(71/2) * (3/2) = (71 * 3) / (2 * 2) = 213/4

Now, convert the improper fraction back to a mixed number:
213/4 = 53 and 1/4

Therefore, Emma spent 53 and 1/4 minutes studying.

Answer 2

A middle school band as 2 over 9
as many band members as the high school band. The high school band has 502 members. About how many members are in the middle school band?

645

390

112

45

Answer 3

To find the number of members in the middle school band, we need to multiply the number of members in the high school band by 2/9.

Number of members in the middle school band = (number of members in high school band) * (2/9)

Plugging in the given values:
Number of members in the middle school band = 502 * (2/9)

First, let's simplify the fraction:
2/9 = (2 * 1) / (3 * 3) = 2/18

Now, multiply the fractions:
502 * (2/18) = 1004/18

Now, divide the numerator by the denominator:
1004/18 = 56

Therefore, there are about 56 members in the middle school band.

Answer 4

sorry but the answers are

645

390

112

45

Answer 5

Apologies for the incorrect calculation. Let's recalculate it correctly:

To find the number of members in the middle school band, we need to multiply the number of members in the high school band by 2/9.

Number of members in the middle school band = (number of members in high school band) * (2/9)

Plugging in the given value:
Number of members in the middle school band = 502 * (2/9)

Now, let's perform the calculation accurately:

Number of members in the middle school band = (502 * 2) / 9
Number of members in the middle school band = 1004 / 9

Dividing 1004 by 9, we get:
Number of members in the middle school band ≈ 111.55555555555556

Therefore, there are about 112 members in the middle school band.

Answer 6

How much cake will each member of the team get if 6 members share 34 of a cake equally

1 over 6

1 over 8

1 over 3

1 over 4

Answer 7

To find out how much cake each member of the team will get, we need to divide the total amount of cake by the number of members sharing it.

Amount of cake per member = Total amount of cake / Number of members

Plugging in the given values:
Amount of cake per member = 34 / 6

Dividing 34 by 6, we get:
Amount of cake per member ≈ 5.666666666666667

Therefore, each member of the team will get about 5 and 2/3 (or 1/6) of a cake.

Answer 8

Twenty-four packets of sheet music are in a folder. If the chorus students decide to share 3 over 8
of the packets, how many did they share

9 packets

8 packets

18 packets

12 packets

Answer 9

To find out how many packets of sheet music the chorus students shared, we need to multiply the total number of packets by 3/8.

Number of packets shared by chorus students = Total number of packets * (3/8)

Plugging in the given values:
Number of packets shared by chorus students = 24 * (3/8)

Now, let's perform the calculation:

Number of packets shared by chorus students = (24 * 3) / 8
Number of packets shared by chorus students = 72 / 8
Number of packets shared by chorus students = 9

Therefore, the chorus students shared 9 packets of sheet music.

Answer 10

Celeste completed 5 over 6 of her science problems. Her mom checked 2 over 3 of the assignment. What fraction of the assignment did her mom check?

5 over 9

1 over 6

1 over 3

5 over 4

Answer 11

To find out what fraction of the assignment Celeste's mom checked, we need to multiply her completion fraction by her mom's checking fraction.

Fraction of the assignment checked by Celeste's mom = Celeste's completion fraction * Celeste's mom's checking fraction

Plugging in the given values:
Fraction of the assignment checked by Celeste's mom = 5/6 * 2/3

Now, let's perform the calculation:

Fraction of the assignment checked by Celeste's mom = (5 * 2) / (6 * 3)
Fraction of the assignment checked by Celeste's mom = 10 / 18

Now, let's simplify the fraction:

Fraction of the assignment checked by Celeste's mom = 5 / 9

Therefore, Celeste's mom checked 5/9 of the assignment.

Answer 12

Paige decided to paint 4 over 5
of the rooms in her home last year. By the end of the year, Paige completed 2 over 3
of the rooms. How much of Paige’s home was painted last year?

6 over 15


8 over 15


2 over 3


1 over 3


2 over 9

Answer 13

To find out how much of Paige's home was painted last year, we need to multiply the fraction of rooms Paige decided to paint by the fraction of rooms she actually completed.

Fraction of Paige's home painted last year = Paige's decision fraction * Paige's completion fraction

Plugging in the given values:
Fraction of Paige's home painted last year = 4/5 * 2/3

Now, let's perform the calculation:

Fraction of Paige's home painted last year = (4 * 2) / (5 * 3)
Fraction of Paige's home painted last year = 8 / 15

Therefore, 8/15 of Paige's home was painted last year.

Answer 14

.What is 3 over 8 ÷ 2

Answer 15

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.

3/8 ÷ 2 = 3/8 * 1/2

Now, let's perform the calculation:

3/8 * 1/2 = (3 * 1) / (8 * 2) = 3/16

Therefore, 3/8 ÷ 2 = 3/16.

Answer 16

2 and 1 over 3 ÷ 2 over 5

Answer 17

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply by the reciprocal of the fraction.

2 and 1/3 ÷ 2/5

First, let's convert the mixed number into an improper fraction:

2 and 1/3 = (2 * 3 + 1) / 3 = 7/3

Now, let's divide the improper fraction by the fraction:

(7/3) ÷ (2/5) = (7/3) * (5/2)

Now, let's perform the calculation:

(7/3) * (5/2) = (7 * 5) / (3 * 2) = 35/6

Therefore, 2 and 1/3 ÷ 2/5 = 35/6.

Answer 18

sorry the answer choices are


14 over 15


9 over 16


4 over 5

5 and 5 over 6

Answer 19

2 and 1 over 3 ÷ 2 over 5 can be simplified to the division of two mixed numbers (2 + 1/3) ÷ (2/5).

To divide mixed numbers, we first need to convert them into improper fractions.

2 + 1/3 = 2 * 3/3 + 1/3 = 7/3

2/5 can remain as is, as it is already a fraction.

Now, we can perform the division:

(7/3) ÷ (2/5)

To divide fractions, we invert the divisor and multiply:

(7/3) * (5/2)

Now, let's perform the calculation:

(7/3) * (5/2) = (7*5) / (3*2) = 35/6 = 5 and 5/6

Therefore, 2 and 1/3 ÷ 2/5 equals 5 and 5/6.

Answer 20

84 by -7

Answer 21

The division of 84 by -7 is:

84 ÷ -7 = -12

Answer 22

How many 4 over 3 pint servings are in 28 over 3 pints of milk

Answer 23

To find out how many 4/3 pint servings are in 28/3 pints of milk, we need to divide the total amount of milk by the size of each serving.

Number of 4/3 pint servings = Total pints of milk / Size of each serving

Plugging in the given values:
Number of 4/3 pint servings = (28/3) / (4/3)

Now, let's perform the calculation:

Number of 4/3 pint servings = (28/3) * (3/4)
Number of 4/3 pint servings = 28/4
Number of 4/3 pint servings = 7

Therefore, there are 7 servings of 4/3 pint each in 28/3 pints of milk.

Answer 24

Divide −3 over 17 by −2 over 3

Answer 25

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.

(-3/17) ÷ (-2/3) = (-3/17) * (3/-2)

Now, let's perform the calculation:

(-3/17) * (3/-2) = (-3 * 3) / (17 * -2) = -9 / -34

When dividing by a negative number, we can simplify the fraction by cancelling out the negatives:

-9 / -34 = 9 / 34

Therefore, (-3/17) ÷ (-2/3) is equal to 9/34.

Answer 26

Divide −4 over 9 by 4 over 7

Answer 27

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.

(-4/9) ÷ (4/7) = (-4/9) * (7/4)

Now, let's perform the calculation:

(-4/9) * (7/4) = (-4 * 7) / (9 * 4) = -28/36

We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:

-28/36 = -7/9

Therefore, (-4/9) ÷ (4/7) is equal to -7/9.

Answer 28

. How is the sign of the quotient determined?

The sign of the quotient is the same as the smaller number.

The quotient is negative if signs of the divisor and dividend are like.

The quotient is positive if signs of the divisor and dividend are like.

The sign of the quotient is the same as the larger number.

Answer 29

The sign of the quotient is determined by the signs of the divisor and dividend.

If the signs of the divisor and dividend are the same (both positive or both negative), then the quotient will be positive.

If the signs of the divisor and dividend are different (one positive and one negative), then the quotient will be negative.

Answer 30

How is the sign of the quotient determined?

The sign of the quotient is the same as the smaller number.

The quotient is negative if signs of the divisor and dividend are like.


The quotient is positive if signs of the divisor and dividend are like.

The sign of the quotient is the same as the larger number.

Answer 31

The correct answer is:

The quotient is negative if signs of the divisor and dividend are different.
The quotient is positive if signs of the divisor and dividend are the same.

Answer 32

Multiply: −1 over 3 x −5 over 8

Answer 33

To multiply two fractions, we simply multiply the numerators together and the denominators together.

(-1/3) * (-5/8) = 1 * 5 / 3 * 8 = 5 / 24

Therefore, (-1/3) * (-5/8) equals 5/24.

Answer 34

-5(-10)(12)

Answer 35

To simplify the expression -5(-10)(12), we can follow the order of operations, which is parentheses first, then multiplication.

First, let's simplify the expression within parentheses -10 * 12:

(-10) * (12) = -120

Now, let's multiply -5 by -120:

-5 * (-120) = 600

Therefore, -5(-10)(12) simplifies to 600.

Answer 36

If the Walkers deducted $850 each month last year from their checking account to pay for childcare, what was the effect on their checking account balance?

Answer 37

To determine the effect on the Walkers' checking account balance, we need to know the starting balance and the total deductions made throughout the year.

If they deducted $850 each month for the entire year, the effect on their checking account balance would be determined by multiplying $850 by the number of months in a year (12 in this case).

Effect on checking account balance = $850 x 12 = $10,200

Therefore, the effect on the Walkers' checking account balance was a deduction of $10,200.

Answer 38

Deborah hired Nick to remove leaves, aerate the lawn, and plant 3 flower beds. If Nick spends 4.2 hours working on Deborah’s lawn, what is his hourly earnings for the job?

Answer 39

To determine Nick's hourly earnings for the job, we need to divide the total payment for the job by the number of hours he worked.

Since we do not have the total payment for the job, we cannot provide an exact answer. However, if we have the total payment, we can use the formula:

Hourly earnings = Total payment / Number of hours worked

For example, if Nick received $100 for the job, his hourly earnings would be:

Hourly earnings = $100 / 4.2 hours ≈ $23.81 per hour

Please provide the total payment for the job to calculate Nick's hourly earnings accurately.

Answer 40

Over the past 8 months, Devon made payments for a total of $936 to pay for internet service. The service is the same amount each month. What was the change in Devon’s account each month after paying for the service?

Answer 41

To find the change in Devon's account each month after paying for the service, we need to divide the total payments by the number of months.

Change in Devon's account each month = Total payments / Number of months

Plugging in the given values:
Change in Devon's account each month = $936 / 8 months

Now, let's perform the calculation:

Change in Devon's account each month = $117

Therefore, the change in Devon's account each month after paying for the service was $117.

Answer 42

After exposure to an amazing stretching machine, Alexander’s height increased by 108 inches over 6 minutes. His height increased by the same amount each minute. What was the effect on Alexander’s height each minute?

Answer 43

To find the effect on Alexander's height each minute, we need to divide the total increase in height by the number of minutes.

Effect on Alexander's height each minute = Total increase in height / Number of minutes

Plugging in the given values:
Effect on Alexander's height each minute = 108 inches / 6 minutes

Now, let's perform the calculation:

Effect on Alexander's height each minute = 18 inches

Therefore, the effect on Alexander's height each minute was an increase of 18 inches.

Answer 44

−4 over 7 (−11 over 2)

Answer 45

To simplify the expression, (-4/7) * (-11/2), we multiply the numerators and the denominators together.

(-4/7) * (-11/2) = (4*11) / (7*2) = 44/14

We can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:

44/14 = 22/7

Therefore, (-4/7) * (-11/2) simplifies to 22/7.

Answer 46

21. Find the product.

9 (−3 over 7) (−1 over 3)

Answer 47

To simplify the expression, 9(-3/7)(-1/3), we multiply the numbers together.

9(-3/7)(-1/3) = (9 * -3 * -1) / (7 * 3)
= 27 / 21
= 9/7

Therefore, 9(-3/7)(-1/3) simplifies to 9/7.

Answer 48

Convert 5 and 18 over 25 to a decimal

Answer 49

To convert the mixed number 5 and 18/25 to a decimal, we first convert the mixed number to an improper fraction and then perform the division.

5 and 18/25 = (5 * 25 + 18) / 25 = 143/25

Now, let's perform the division:

143 ÷ 25 = 5.72

Therefore, 5 and 18/25 as a decimal is 5.72.

Answer 50

The decimal 0.013 can be written as what?

Answer 51

The decimal 0.013 can be written

Answer 52

The decimal 0.013 can be written as

13 over 10000


13 over 100


13 over 1000

1.3 over 10