Solve Multiplication with Fractions: 10 × 7/9

When multiplying a fraction by a whole number, think of the whole number as having denominator 1. So $10 \times \frac{7}{9} = \frac{10}{1} \times \frac{7}{9} = \frac{70}{9}$. Only numerators multiply together!

Divide the numerator by the denominator: 70 ÷ 9 = 7 remainder 7. The quotient (7) becomes the whole number, and the remainder (7) becomes the new numerator over the same denominator (9).

No! Since 7 and 9 share no common factors other than 1, the fraction $\frac{7}{9}$ is already in simplest form. So $7\frac{7}{9}$ is your final answer.

Both forms are correct! $\frac{70}{9}$ and $7\frac{7}{9}$ represent the same value. Mixed numbers are usually preferred for final answers because they're easier to understand.

Yes! Think: "10 groups of 7/9". Since 9 groups of 7/9 make 7 whole, 10 groups make 7 whole plus 1 more group of 7/9. So the answer is $7\frac{7}{9}$!