Decimals with Fractions

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SAT Math › Decimals with Fractions

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

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,

4

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.

5

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.

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 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,

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 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,

8

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,

9

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,

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 44 goes into 50, which in this case is only once. So multiply 1 times 44, then subtract it from 50.

Now, evaluate how many times 44 goes into 60, which again is only once. So we multiply 1 times 44 and subtract that number from 60.

Now, evaluate how many times 44 goes into 160. Since 44 times 3 is 132, we will subtract that number from 160 because it the largest possible number without exceeding 160.

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

Therefore the answer is,

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