Question

Jimmy learnt the concepts of mixed fractions and improper fractions. He had a thought and wanted to confirm it with his teacher. He wrote the following steps on a paper:

$9\frac{3}{4}=9+\frac{3}{4}=(8+1)+\frac{3}{4}=8+(1+\frac{3}{4})=8+\frac{7}{4}=8\frac{7}{4}$

Jimmy says that $8\frac{7}{4}$ is a mixed fraction. Choose the correct option(s):

• A. Jimmy is correct because the math he had done has no errors.
• B. Jimmy is correct because a mixed fraction has a whole number and a fraction and so $8\frac{7}{4}$ is a mixed fraction.
• C. Jimmy is incorrect when he says that $8\frac{7}{4}$ is a mixed fraction, because the fractional part is an improper fraction.
• D. Jimmy is incorrect because the whole number part and the fractional part are not numerically same in both the fractions.

Answer 1

The correct option is C

Jimmy is incorrect when he says that $8\frac{7}{4}$ is a mixed fraction, because the fractional part is an improper fraction.

For a number to be a mixed fraction, the fractional part must be a proper fraction.

Jimmy is incorrect when he says that $8\frac{7}{4}$ is a mixed fraction, because the fractional part, $\frac{7}{4}$, is not a proper fraction since its numerator is greater than its denominator.