What is obtained by converting 3.125 into a fraction?
Answer and explanation
Correct answer: 25/8
The governing concept is conversion of a terminating decimal into a rational fraction. Since 3.125 has three decimal places, write it as 3125/1000. Dividing numerator and denominator by their greatest common divisor, 125, gives 3125 ÷ 125 = 25 and 1000 ÷ 125 = 8. Thus option B, 25/8, is correct; the other options do not equal 3.125.
Frequently asked questions
What is the correct answer to this question?
25/8
Why is this the correct answer?
The governing concept is conversion of a terminating decimal into a rational fraction. Since 3.125 has three decimal places, write it as 3125/1000. Dividing numerator and denominator by their greatest common divisor, 125, gives 3125 ÷ 125 = 25 and 1000 ÷ 125 = 8. Thus option B, 25/8, is correct; the other options do not equal 3.125.
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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