Multiply 5/12 times 2. Write the answer in simplest form???
29 answers
5/12 * 2 = 10/12 = 5/6
Multiply 4/9 times 7. Write the answer as a mixed number.
4/9 * 7 = 28/9 = 3 1/9
So, 4/9 times 7 is equal to 3 1/9.
So, 4/9 times 7 is equal to 3 1/9.
Find the product of 2/3 × 5/9
2/3 * 5/9 = (2*5) / (3*9) = 10 / 27
So, the product of 2/3 and 5/9 is 10/27.
So, the product of 2/3 and 5/9 is 10/27.
Multiply 4/5 times 5/8. Write the answer in simplest form.
4/5 * 5/8 = (4*5) / (5*8) = 20 / 40
To simplify, we can divide the numerator and denominator by their greatest common factor, which is 20 in this case:
20 ÷ 20 = 1
40 ÷ 20 = 2
Therefore, 20/40 simplifies to 1/2.
So, 4/5 times 5/8 is equal to 1/2.
To simplify, we can divide the numerator and denominator by their greatest common factor, which is 20 in this case:
20 ÷ 20 = 1
40 ÷ 20 = 2
Therefore, 20/40 simplifies to 1/2.
So, 4/5 times 5/8 is equal to 1/2.
Multiply 1/9 by 4 1/5. Write the answer in simplest form.
To multiply a fraction by a whole number, we first convert the whole number to a fraction with the same denominator.
4 1/5 = 4 + 1/5 = 4 + 1*1/5 = 4 + 1/5 = 20/5 + 1/5 = 21/5
Now we multiply 1/9 by 21/5:
1/9 * 21/5 = (1*21) / (9*5) = 21 / 45
To simplify the fraction, we find that the greatest common factor of 21 and 45 is 3:
21 ÷ 3 = 7
45 ÷ 3 = 15
Therefore, 21/45 simplifies to 7/15.
So, 1/9 times 4 1/5 is equal to 7/15.
4 1/5 = 4 + 1/5 = 4 + 1*1/5 = 4 + 1/5 = 20/5 + 1/5 = 21/5
Now we multiply 1/9 by 21/5:
1/9 * 21/5 = (1*21) / (9*5) = 21 / 45
To simplify the fraction, we find that the greatest common factor of 21 and 45 is 3:
21 ÷ 3 = 7
45 ÷ 3 = 15
Therefore, 21/45 simplifies to 7/15.
So, 1/9 times 4 1/5 is equal to 7/15.
Multiply 4/5 by 7 1/3. Convert the product to be a mixed number.
To multiply a fraction by a mixed number, we first convert the mixed number to an improper fraction.
7 1/3 = 7 + 1/3 = 7 + 1*3/3 = 7 + 3/3 = 10/3
Now we multiply 4/5 by 10/3:
4/5 * 10/3 = (4*10) / (5*3) = 40 / 15
To simplify the fraction, we can divide the numerator and denominator by their greatest common factor, which is 5 in this case:
40 ÷ 5 = 8
15 ÷ 5 = 3
Therefore, 40/15 simplifies to 8/3.
Now, we can convert 8/3 to a mixed number:
8 ÷ 3 = 2 with a remainder of 2
So, the mixed number equivalent of 8/3 is 2 2/3.
Therefore, 4/5 times 7 1/3 is equal to 2 2/3.
7 1/3 = 7 + 1/3 = 7 + 1*3/3 = 7 + 3/3 = 10/3
Now we multiply 4/5 by 10/3:
4/5 * 10/3 = (4*10) / (5*3) = 40 / 15
To simplify the fraction, we can divide the numerator and denominator by their greatest common factor, which is 5 in this case:
40 ÷ 5 = 8
15 ÷ 5 = 3
Therefore, 40/15 simplifies to 8/3.
Now, we can convert 8/3 to a mixed number:
8 ÷ 3 = 2 with a remainder of 2
So, the mixed number equivalent of 8/3 is 2 2/3.
Therefore, 4/5 times 7 1/3 is equal to 2 2/3.
In a survey of teenagers, 2/3 responded that they got regular exercise, and 4/5 of those said that walking was their main form of exercise. What fraction of the teenagers mainly exercise by walking?
Let's break it down step by step:
1. 2/3 of teenagers responded that they got regular exercise.
2. Within that group, 4/5 said that walking was their main form of exercise.
To find the fraction of teenagers who mainly exercise by walking, we multiply the fractions:
(2/3) * (4/5) = (2*4) / (3*5) = 8 / 15
Therefore, 8/15 of the teenagers mainly exercise by walking.
1. 2/3 of teenagers responded that they got regular exercise.
2. Within that group, 4/5 said that walking was their main form of exercise.
To find the fraction of teenagers who mainly exercise by walking, we multiply the fractions:
(2/3) * (4/5) = (2*4) / (3*5) = 8 / 15
Therefore, 8/15 of the teenagers mainly exercise by walking.
Clarissa cycled at 12 1/2 miles per hour for 2 1/2 hours. How far did she travel?
To find the distance Clarissa traveled, we can multiply her speed (in miles per hour) by the time she traveled (in hours).
Clarissa cycled at 12 1/2 miles per hour for 2 1/2 hours:
Distance = Speed x Time
First, let's convert 12 1/2 into an improper fraction:
12 1/2 = 25/2
Now, we can calculate the distance Clarissa traveled:
Distance = (25/2) * 2 1/2
Distance = (25/2) * (5/2)
Distance = (25*5) / (2*2)
Distance = 125 / 4
Distance = 31 1/4 miles
Clarissa traveled a distance of 31 1/4 miles.
Clarissa cycled at 12 1/2 miles per hour for 2 1/2 hours:
Distance = Speed x Time
First, let's convert 12 1/2 into an improper fraction:
12 1/2 = 25/2
Now, we can calculate the distance Clarissa traveled:
Distance = (25/2) * 2 1/2
Distance = (25/2) * (5/2)
Distance = (25*5) / (2*2)
Distance = 125 / 4
Distance = 31 1/4 miles
Clarissa traveled a distance of 31 1/4 miles.
Compute: 9/11 ÷ 1/3. Simplify the answer if possible.
A. 11/27
B. 27/11
C. 2 5/11
D. 3/11
A. 11/27
B. 27/11
C. 2 5/11
D. 3/11
To divide two fractions, we multiply by the reciprocal of the divisor.
9/11 ÷ 1/3 = 9/11 * 3/1 = (9*3)/(11*1) = 27/11
Therefore, the simplified answer is 27/11, which is option B.
So, the answer is B. 27/11.
9/11 ÷ 1/3 = 9/11 * 3/1 = (9*3)/(11*1) = 27/11
Therefore, the simplified answer is 27/11, which is option B.
So, the answer is B. 27/11.
Sam has 1 1/2 feet of cord to make bracelets. Each bracelet needs 1/4 foot of cord. How many bracelets can he make?
To find out how many bracelets Sam can make, we need to divide the total length of cord Sam has by the cord required for each bracelet.
Total length of cord = 1 1/2 feet = 3/2 feet
Cord required for each bracelet = 1/4 foot
Number of bracelets = Total length of cord / Cord required for each bracelet
Number of bracelets = (3/2) / (1/4)
Number of bracelets = (3/2) * (4/1)
Number of bracelets = 12 / 2
Number of bracelets = 6
Therefore, Sam can make 6 bracelets with 1 1/2 feet of cord.
Total length of cord = 1 1/2 feet = 3/2 feet
Cord required for each bracelet = 1/4 foot
Number of bracelets = Total length of cord / Cord required for each bracelet
Number of bracelets = (3/2) / (1/4)
Number of bracelets = (3/2) * (4/1)
Number of bracelets = 12 / 2
Number of bracelets = 6
Therefore, Sam can make 6 bracelets with 1 1/2 feet of cord.
Andre is cutting fence boards from a large piece of wood 10 1/4 yards long. Each board needs to be 4/5 yard. How many whole, equal-sized boards can he cut from this piece of wood?
To find out how many whole, equal-sized boards Andre can cut from the piece of wood, we will divide the total length of the wood by the length each board needs.
Total length of the wood = 10 1/4 yards = 41/4 yards
Length each board needs = 4/5 yard
Number of boards = Total length of wood / Length each board needs
Number of boards = (41/4) / (4/5)
Number of boards = (41/4) * (5/4)
Number of boards = 205/16
Since we are looking for the number of whole boards, we will divide 205 by 16 to see how many times 16 goes into 205.
205 ÷ 16 = 12 with a remainder of 13
By the division, Andre can cut 12 whole, equal-sized boards, with 13/16 left over.
Total length of the wood = 10 1/4 yards = 41/4 yards
Length each board needs = 4/5 yard
Number of boards = Total length of wood / Length each board needs
Number of boards = (41/4) / (4/5)
Number of boards = (41/4) * (5/4)
Number of boards = 205/16
Since we are looking for the number of whole boards, we will divide 205 by 16 to see how many times 16 goes into 205.
205 ÷ 16 = 12 with a remainder of 13
By the division, Andre can cut 12 whole, equal-sized boards, with 13/16 left over.
What is the quotient of 8/9 ÷ 5? Simplify your answer if needed.
To divide a fraction by a whole number, we can convert the whole number to a fraction with the denominator being 1.
8/9 ÷ 5 = 8/9 ÷ 5/1
When dividing fractions, we multiply by the reciprocal of the divisor:
8/9 ÷ 5/1 = 8/9 * 1/5 = (8 * 1) / (9 * 5) = 8/45
Therefore, the quotient of 8/9 ÷ 5 is 8/45.
8/9 ÷ 5 = 8/9 ÷ 5/1
When dividing fractions, we multiply by the reciprocal of the divisor:
8/9 ÷ 5/1 = 8/9 * 1/5 = (8 * 1) / (9 * 5) = 8/45
Therefore, the quotient of 8/9 ÷ 5 is 8/45.
Mallory wants to run 24 miles this month. If she can run 3/4 of a mile each day she runs, how many days will it take her to run those 24 miles?
To find out how many days it will take Mallory to run 24 miles at a rate of 3/4 mile per day, we need to divide the total distance by the distance she runs in a day.
Total distance she wants to run = 24 miles
Distance she runs each day = 3/4 mile
Number of days = Total distance / Distance per day
Number of days = 24 / (3/4)
Number of days = 24 * (4/3)
Number of days = 96/3
Number of days = 32
It will take Mallory 32 days to run 24 miles if she runs 3/4 mile each day.
Total distance she wants to run = 24 miles
Distance she runs each day = 3/4 mile
Number of days = Total distance / Distance per day
Number of days = 24 / (3/4)
Number of days = 24 * (4/3)
Number of days = 96/3
Number of days = 32
It will take Mallory 32 days to run 24 miles if she runs 3/4 mile each day.
Reggie is making doll clothes for his little sister. He has 3 yards of fabric. If each dress uses 3/8 yard of fabric, how many dresses can he make?
To find out how many dresses Reggie can make from 3 yards of fabric, we need to divide the total length of fabric by the length needed for each dress.
Total fabric length = 3 yards
Fabric required for each dress = 3/8 yard
Number of dresses = Total fabric length / Fabric needed per dress
Number of dresses = 3 / (3/8)
Number of dresses = 3 * (8/3)
Number of dresses = 24/3
Number of dresses = 8
Therefore, Reggie can make 8 dresses with 3 yards of fabric, each dress using 3/8 yard of fabric.
Total fabric length = 3 yards
Fabric required for each dress = 3/8 yard
Number of dresses = Total fabric length / Fabric needed per dress
Number of dresses = 3 / (3/8)
Number of dresses = 3 * (8/3)
Number of dresses = 24/3
Number of dresses = 8
Therefore, Reggie can make 8 dresses with 3 yards of fabric, each dress using 3/8 yard of fabric.
Jessie was given the problem 3 2/5÷3/10= to solve. Jessie’s work looks like this:
3 2/5 ÷ 3/10 = ?
17/5 3/10 = ?
17/5⋅ 3/10 =17.3/5.10
51/50 = 1 1/50
Jessie’s answer is incorrect. Answer the following questions about Jessie’s work.
a. Find and describe Jessie’s error.
b. What is the correct answer?
3 2/5 ÷ 3/10 = ?
17/5 3/10 = ?
17/5⋅ 3/10 =17.3/5.10
51/50 = 1 1/50
Jessie’s answer is incorrect. Answer the following questions about Jessie’s work.
a. Find and describe Jessie’s error.
b. What is the correct answer?
a. Jessie's error is in the step where she multiplies 17/5 by 3/10. The correct way to multiply fractions is to multiply the numerators together and the denominators together separately.
b. The correct way to solve the division problem 3 2/5 ÷ 3/10 is as follows:
Convert the mixed number to an improper fraction:
3 2/5 = 17/5
Divide by the fraction:
17/5 ÷ 3/10
Invert and multiply:
17/5 * 10/3
Multiply the numerators and denominators:
(17 * 10) / (5 * 3) = 170 / 15 = 34/3 or 11 1/3
Therefore, the correct answer is 11 1/3 or in improper fraction form 34/3.
b. The correct way to solve the division problem 3 2/5 ÷ 3/10 is as follows:
Convert the mixed number to an improper fraction:
3 2/5 = 17/5
Divide by the fraction:
17/5 ÷ 3/10
Invert and multiply:
17/5 * 10/3
Multiply the numerators and denominators:
(17 * 10) / (5 * 3) = 170 / 15 = 34/3 or 11 1/3
Therefore, the correct answer is 11 1/3 or in improper fraction form 34/3.
1 answer