How to find the decimal equivalent of a fraction

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SAT Math › How to find the decimal equivalent of a fraction

Questions 1 - 10
1

Find the decimal equivalent of the fraction:

Explanation

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 17 goes into 80. We know that 17 times 4 is 68, which is the largest possible number without exceeding 80. So subtract 68 from 80.

Now, evaluate how many times 17 goes into 120. Since 7 times 17 is 119, subtract that number from 120.

Since 17 doesn't go into 10, we have to put a zero in after the 7 and move on to the next place. Now, evaluate how many times 17 goes into 100. Since 5 times 17 is 85, we will subtract that from 100 because it the largest possible number without exceeding 100.

Our answer choices only go to three decimal places, but we have four. So before we are done, we must round accordingly.

Therefore the answer is,

2

Numberline 1

In the above number line, which point comes closest to ?

Explanation

Divide numerator 18 by denominator 29 to find the decimal equivalent of the fraction :

Division

The result is slightly higher than 0.62 - the point on the number line.

3

If , can equal which of the following?

None of the other answer choices are correct

Explanation

Convert all of the fractions to decimals. Thus, x is contained within the range of 0.33 < x < 0.76. The answers choices become 1/4 = 0.25, 4/12 = 0.33, 2/5 = 0.4, and 5/16 = 0.3125, respectively. Therefore, the only answer which is within the desired range is 2/5.

4

Find the decimal equivalent of the fraction:

Explanation

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 8 goes into 10. In this case, it is only once, so multiply 1 by 8 to get 8. From here subtract 8 from 10.

Now, evaluate how many times 8 goes into 20. Since 2 times 8 is 16, subtract that number from 20.

Now, evaluate how many times 8 goes into 40. Since 8 times 5 is is 40, this is the value we need to choose.

Since our final answer after subtracting is zero, we are done.

Therefore the answer is,

5

Find the decimal equivalent of the fraction:

Explanation

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 15 goes into 60. We know that 4 times 15 is 60 and can subtract accordingly.

Since subtraction gave us zero, we are done.

Therefore the answer is,

6

Find the decimal equivalent of the fraction:

Explanation

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 26 goes into 130. We know that 5 times 26 is 130 and can subtract accordingly.

Since subtraction gave us zero, we are done.

Therefore the answer is,

7

Find the decimal equivalent of the fraction:

Explanation

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 16 goes into 150. Since 16 times 9 is 144 and that is the closest value to 150 without going over, that is the first value in the decimal. From here subtract 144 from 150.

Now, evaluate how many times 16 goes into 60. Since 3 times 16 is 48, subtract that number from 60.

Now, evaluate how many times 16 goes into 120. Since 16 times 7 is is 112, this is the closest value to 120 without exceeding it which means it the value we need to choose.

Since all the answer choices stop at three digits we are done.

Therefore the answer is,

8

Approximate the fraction to decimal and round to three decimal places:

Explanation

In order to estimate this fraction, set up a proportion equal to where the denominator is something of 100 parts.

Cross multiply.

Divide seven on both sides.

Rewrite the proportion.

To find the decimal, simply move the decimal place of the numerator back two spaces, and the denominator two spaces back as well.

The answer is:

9

Which of the following numbers is between 1/5 and 1/6?

0.25

0.22

0.19

0.16

0.13

Explanation

Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.

10

Find the decimal equivalent of the fraction:

Explanation

To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. Then complete long division. In many cases, the decimal will not end, so the best thing to do is divide until you get four decimal places, then round accordingly. For this question that will look like this:

To perform long division make sure the value in the numerator is in the division symbol.

From here, we need to add a decimal point and zero because the inside value is less than the outside value.

Now, evaluate how many times 23 goes into 120. In this case, since 5 times 23 is 115, this is largest number possible without exceeding 120. From here subtract 115 from 120.

Now, evaluate how many times 23 goes into 50. Since 2 times 23 is 46, subtract that number from 50.

Now, evaluate how many times 23 goes into 40, which in this case is only once. So multiply 1 times 23 to get 23, then subtract it from 40.

Since our answer choices only go to three decimal places, we are done.

Therefore the answer is,

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