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What is the simplified fractional equivalent of the terminating decimal 0.68?

A. \(\frac{34}{50}\)

B. 6

C. \(\frac{68}{100}\)

D. \(\frac{17}{25}\)

Answer :

Final answer:

To simplify the decimal 0.68 to a fraction, express it as 68/100 and then divide both numerator and denominator by 4 to get the simplified fraction 17/25.

Explanation:

To find the simplified fractional equivalent of the terminating decimal 0.68, we first express it as a fraction over 100, since there are two digits after the decimal point. This gives us 68/100. We then simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4. Therefore, the simplified fraction is (68 ÷ 4)/(100 ÷ 4) = 17/25. So the correct answer is D. 17/25. The fraction equivalent of the terminating decimal 0.68 can be found by placing the decimal part over the appropriate power of 10. In this case, there are two decimal places in 0.68, so the denominator will be 100. Therefore, the simplified fractional equivalent of 0.68 is 68/100, which is option C.

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