The decimal 0.625 is equal to which simplified fraction?
Answer and explanation
Correct answer: 5/8
The governing concept is converting a terminating decimal to a fraction and reducing it to lowest terms. Because 0.625 has three digits after the decimal point, write it as 625/1000. The greatest common divisor of 625 and 1000 is 125. Dividing numerator and denominator by 125 gives 625 ÷ 125 = 5 and 1000 ÷ 125 = 8, so 0.625 = 5/8. Therefore option A is correct. Although 25/40 is equivalent to 5/8, it is not in simplified form, so option C does not satisfy the wording. The fraction 3/8 equals 0.375, not 0.625. The expression 625/100 equals 6.25 and also has not used the correct denominator for three decimal places. The final fraction 5/8 cannot be reduced further because 5 and 8 have no common factor greater than 1.
Frequently asked questions
What is the correct answer to this question?
5/8
Why is this the correct answer?
The governing concept is converting a terminating decimal to a fraction and reducing it to lowest terms. Because 0.625 has three digits after the decimal point, write it as 625/1000. The greatest common divisor of 625 and 1000 is 125. Dividing numerator and denominator by 125 gives 625 ÷ 125 = 5 and 1000 ÷ 125 = 8, so 0.625 = 5/8. Therefore option A is correct. Although 25/40 is equivalent to 5/8, it is not in simplified form, so option C does not satisfy the wording. The fraction 3/8 equals 0.375, not 0.625. The expression 625/100 equals 6.25 and also has not used the correct denominator for three decimal places. The final fraction 5/8 cannot be reduced further because 5 and 8 have no common factor greater than 1.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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