What is (8.75) as a fraction in simplest form?
Answer and explanation
Correct answer: (\frac{35}{4})
A decimal can be changed into a fraction by using a denominator based on the number of digits after the decimal point. In 8.75 there are two digits after the decimal, so it becomes \(\frac{875}{100}\). This fraction is then reduced by dividing numerator and denominator by their common factor 25, giving \(\frac{35}{4}\). Hence choice A is correct.
The value can also be checked by separating the whole and fractional parts: 8.75 is 8 plus 75 hundredths. Since \(8=\frac{32}{4}\) and \(0.75=\frac{3}{4}\), their sum is \(\frac{35}{4}\). Option B is equivalent in value but is not in simplest form. The other options do not equal 8.75, so they cannot be selected.
Frequently asked questions
What is the correct answer to this question?
(\frac{35}{4})
Why is this the correct answer?
A decimal can be changed into a fraction by using a denominator based on the number of digits after the decimal point. In 8.75 there are two digits after the decimal, so it becomes \(\frac{875}{100}\). This fraction is then reduced by dividing numerator and denominator by their common factor 25, giving \(\frac{35}{4}\). Hence choice A is correct.
The value can also be checked by separating the whole and fractional parts: 8.75 is 8 plus 75 hundredths. Since \(8=\frac{32}{4}\) and \(0.75=\frac{3}{4}\), their sum is \(\frac{35}{4}\). Option B is equivalent in value but is not in simplest form. The other options do not equal 8.75, so they cannot be selected.
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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