Oilers/Plant Tenders (HHC) Civil Service Practice Exam

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Is the decimal 0.875 written as a fraction equal to 15/16?

True
False
1/8
3/4

The correct answer is: False

To determine whether the decimal 0.875 is equal to the fraction 15/16, you can convert the decimal to a fraction. The decimal 0.875 can be expressed as 875/1000. To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 125 in this case. Doing this process results in: 875 ÷ 125 = 7 1000 ÷ 125 = 8 Thus, 0.875 can be simplified to 7/8. Next, you should compare this with the fraction 15/16. To do this, convert 7/8 to have a common denominator with 15/16. Since 8 and 16 can share a common denominator, you can convert 7/8: 7/8 is equivalent to (7 × 2)/(8 × 2) = 14/16. Looking at this, you can see that 14/16 is not equal to 15/16, therefore confirming that the decimal 0.875 is not equal to the fraction 15/16. The decision is supported by confirming that 0.875 simplifies to 7/8 rather