Conversion of Mixed Fraction to Improper Fraction and Vice Versa

Q.

Change to mixed numbers or whole numbers.

$\frac{10}{3}$

Q.

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):

1. Jimmy is correct because the math he had done has no errors.

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

3. Jimmy is incorrect because the whole number part and the fractional part are not numerically same in both the fractions.

4. Jimmy is correct because a mixed fraction has a whole number and a fraction and so $8\frac{7}{4}$ is a mixed fraction.