Asked by RWQFSFASXC

Convert 6/
32
to a decimal using long division
Answered by RWQFSFASXC


What is 0.32 expressed as a simplified fraction?
Answered by RWQFSFASXC

The decimal 0.037 can be written as which fraction?
Answered by RWQFSFASXC

Each issue of a magazine costs $6.95 at the supermarket. A 6-month digital subscription costs $30.99. How much does a reader save by subscribing to the digital magazine for 6 months?
Answered by RWQFSFASXC

Each issue of a magazine costs $6.95 at the supermarket. A 6-month digital subscription costs $30.99. How much does a reader save by subscribing to the digital magazine for 6 months?(1 point)
Responses

24.04
24.04

1.79
1.79

10.71
10.71

41.70
Answered by RWQFSFASXC
man shut up
Answered by RWQFSFASXC
Four friends each swim 3/5
of a mile in a relay. What is the total distance they swim?
Answered by RWQFSFASXC
Bishop ate 12
of a sandwich for lunch, and she ate 23
of what was left after work. How much of the sandwich did Bishop eat after work?

Answered by RWQFSFASXC
Bishop ate 1/2
of a sandwich for lunch, and she ate 2/3
of what was left after work. How much of the sandwich did Bishop eat after work?(1 point)
Responses
Answered by RWQFSFASXC
Patricia studied 4 1/2
hours for her Social Studies test. She studied half as long for her science test as she did for the Social Studies test. How long did she study for the science test?(1 point)
Responses
Answered by GPT 3.5
To convert 6/32 to a decimal using long division, follow these steps:

1. Divide the numerator (6) by the denominator (32): 6 ÷ 32.

2. Since 6 is smaller than 32, place a decimal point after the 6 to start the decimal representation: 0.______.

3. Multiply the numerator (6) by 10 and write the result (60) below the line, under the 6:
0.______
- 32 | 6

60

4. Divide 60 by 32: 60 ÷ 32 = 1 remainder 28. Write the whole number (1) above the line and the remainder (28) after it.

0.______
- 32 | 6
60
--
28

5. Bring down the next digit of the dividend (0) and write it next to the remainder: 28 becomes 280.

0.______
- 32 | 6
60
--
280

6. Divide 280 by 32: 280 ÷ 32 = 8 remainder 24. Write the whole number (8) above the line and the remainder (24) after it.

0.______
- 32 | 6
60
--
280
--
24

7. Repeat step 5 and 6 with the next digit (0) if necessary.

Since the remainder is smaller than the divisor (32) and we've reached the end of the digits, the division process stops.

The final decimal representation of 6/32 is 0.1875.
Answered by GPT 3.5
To express 0.32 as a simplified fraction, we can follow these steps:

1. Let x be the decimal number we want to convert into a fraction.
x = 0.32

2. Since there are 2 decimal places in 0.32, we can write it as:
x = 0.32/1

3. To remove the decimal places, we'll multiply both the numerator and denominator by 10 raised to the number of decimal places (2 in this case):
x = 0.32/1 = (0.32 × 100)/(1 × 100) = 32/100

4. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD):
GCD(32, 100) = 4
32/100 = (32 ÷ 4) / (100 ÷ 4) = 8/25

Therefore, 0.32 expressed as a simplified fraction is 8/25.
Answered by GPT 3.5
To express 0.037 as a fraction, we can follow these steps:

1. Let x be the decimal number we want to convert into a fraction.
x = 0.037

2. Since there are 3 decimal places in 0.037, we can write it as:
x = 0.037/1

3. To remove the decimal places, we'll multiply both the numerator and denominator by 10 raised to the number of decimal places (3 in this case):
x = 0.037/1 = (0.037 × 1000)/(1 × 1000) = 37/1000

4. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD):
GCD(37, 1000) = 1
37/1000 = (37 ÷ 1) / (1000 ÷ 1) = 37/1000

Therefore, 0.037 expressed as a fraction is 37/1000.
Answered by GPT 3.5
To calculate how much a reader saves by subscribing to the digital magazine for 6 months, follow these steps:

1. Find the cost of purchasing each issue of the magazine for 6 months:
Number of issues in 6 months = 6 months x 12 issues per month = 72 issues
Cost of each issue = $6.95
Total cost of purchasing each issue for 6 months = 72 issues x $6.95 = $501.6 (rounded to two decimal places)

2. Find the cost of a 6-month digital subscription:
Cost of the 6-month digital subscription = $30.99

3. Calculate the savings:
Savings = Cost of purchasing each issue for 6 months - Cost of the 6-month digital subscription
Savings = $501.6 - $30.99 = $470.61 (rounded to two decimal places)

Therefore, a reader saves approximately $470.61 by subscribing to the digital magazine for 6 months.
Answered by GPT 3.5
To calculate how much a reader saves by subscribing to the digital magazine for 6 months, follow these steps:

1. Find the cost of purchasing each issue of the magazine for 6 months:
Number of issues in 6 months = 6 months x 12 issues per month = 72 issues
Cost of each issue = $6.95
Total cost of purchasing each issue for 6 months = 72 issues x $6.95 = $501.60.

2. Find the cost of a 6-month digital subscription:
Cost of the 6-month digital subscription = $30.99.

3. Calculate the savings:
Savings = Cost of purchasing each issue for 6 months - Cost of the 6-month digital subscription
Savings = $501.60 - $30.99 = $470.61.

Therefore, a reader saves $470.61 by subscribing to the digital magazine for 6 months.

None of the provided options (24.04, 1.79, 10.71, 41.70) match the correct answer of $470.61.
Answered by GPT 3.5
I apologize if my response was not helpful. If you have any further questions or need assistance, please let me know and I'll be happy to help.
Answered by GPT 3.5
To find the total distance the four friends swim in the relay, we need to multiply the distance each friend swims (3/5 of a mile) by the number of friends (4).

Distance each friend swims = 3/5 mile
Number of friends = 4

Total distance = (3/5) mile × 4 friends

To multiply fractions, we multiply the numerators together to get the new numerator and the denominators together to get the new denominator.

Total distance = (3 × 4)/(5 × 1) mile
= 12/5 mile

Therefore, the four friends swim a total distance of 12/5 mile or 2.4 miles.
Answered by GPT 3.5
To determine how much of the sandwich Bishop ate after work, we need to subtract the portion she ate for lunch from the remaining portion.

Given:
Portion eaten for lunch = 12/1 (whole sandwich)
Portion eaten after work = 23/1 (whole sandwich)

To find the portion eaten after work, we first need to determine the remaining portion after lunch:
Remaining portion after lunch = 1 - 12/1
= (1 * 1 - 12)/1
= (1 - 12)/1
= -11/1 (negative fraction is not possible, so there was an error in the data given)

Based on the information provided, there seems to be an error because the remaining portion after lunch cannot be negative. Please double-check the data and provide the correct values so I can assist you further.
Answered by GPT 3.5
To determine how much of the sandwich Bishop ate after work, we can follow these steps:

Given:
Portion eaten for lunch = 1/2 of a sandwich
Portion eaten after work = 2/3 of what was left

1. Start with the portion eaten for lunch, which is 1/2 of a sandwich.

2. Calculate the portion that was left after lunch by subtracting the portion eaten for lunch from the whole sandwich:
Remaining portion after lunch = 1 - 1/2
= (2/2) - (1/2)
= 1/2

3. Calculate the portion eaten after work by multiplying the remaining portion (1/2) by 2/3:
Portion eaten after work = (1/2) × (2/3)
= (1 × 2)/(2 × 3)
= 2/6
= 1/3

Therefore, Bishop ate 1/3 of the sandwich after work.
Answered by GPT 3.5
To determine how long Patricia studied for the science test, we need to find half the time she studied for the Social Studies test.

Given:
Time studied for the Social Studies test = 4 1/2 hours

1. Convert the mixed number 4 1/2 to an improper fraction:
4 1/2 = (4 x 2 + 1)/2 = 9/2

2. Divide the time studied for the Social Studies test by 2 to find half the time:
Time studied for the science test = (9/2) ÷ 2
= 9/2 ÷ 2/1 (invert the divisor and multiply)
= (9/2) x (1/2)
= (9 x 1)/(2 x 2)
= 9/4

Therefore, Patricia studied for 9/4 hours or 2 1/4 hours for her science test.