What do we get when decimal 0.5 is converted into a fraction?
Answer and explanation
Correct answer: 5/10
The governing concept is place value in terminating decimals. The decimal 0.5 has one digit after the decimal point, so it represents five tenths, written as 5/10. This fraction can be simplified by dividing numerator and denominator by 5, giving 1/2. Therefore option B is the direct fraction form requested, although 1/2 is its simplest equivalent form. Option A equals 0.2, option C equals 0.05, and option D equals 2, so none of them represents 0.5. A useful rule is to remove the decimal point and place 1 followed by as many zeros in the denominator as there are decimal places; then simplify if required.
Frequently asked questions
What is the correct answer to this question?
5/10
Why is this the correct answer?
The governing concept is place value in terminating decimals. The decimal 0.5 has one digit after the decimal point, so it represents five tenths, written as 5/10. This fraction can be simplified by dividing numerator and denominator by 5, giving 1/2. Therefore option B is the direct fraction form requested, although 1/2 is its simplest equivalent form. Option A equals 0.2, option C equals 0.05, and option D equals 2, so none of them represents 0.5. A useful rule is to remove the decimal point and place 1 followed by as many zeros in the denominator as there are decimal places; then simplify if required.
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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