Multiplying Fractions

Feedback: Not quite! Multiply the numerators: 3 × 2 = 6. Then, multiply the denominators: 5 × 7 = 35. The result is $\frac{6}{35}$, which cannot be simplified further.

Feedback: Not quite! Multiply $\frac{7}{5} \times 15$ by rewriting 15 as $\frac{15}{1}$. Cross-cancel 5 and 15 to get 1 and 3. Multiply 7 by 3 to get 21.

Feedback: Not quite! Simplify $\frac{15}{35}$ to $\frac{3}{7}$ and $\frac{5}{10}$ to $\frac{1}{2}$. Multiply the numerators: $3 \times 1 = 3$. Multiply the denominators: $7 \times 2 = 14$. The result is $\frac{3}{10}$.

Feedback: Not quite! Simplify: $16$ and $24$ divide by $8$, becoming $2$ and $3$, and $18$ and $27$ divide by $9$, becoming $2$ and $3$. Multiply: $2 \times 2 = 4$ and $3 \times 3 = 9$, giving $\frac{4}{9}$.

Feedback: Not quite! Simplify: $25$ and $50$ divide by $25$, becoming $1$ and $2$, and $40$ and $32$ divide by $8$, becoming $5$ and $4$. Multiply: $1 \times 4 = 4$ and $5 \times 2 = 10$, giving $\frac{4}{10}$, which simplifies to $\frac{2}{5}$.

Feedback: Not quite! Convert $2 \frac{1}{3}$ into an improper fraction: $2 \frac{1}{3} = \frac{7}{3}$. Cross-cancel: $9$ and $3$ divide by $3$, becoming $3$ and $1$. Multiply: $7 \times 3 = 21$ and $1 \times 4 = 4$, giving $\frac{21}{4}$.