Solve the fraction multiplication: 16/4 × 22/14

Question

ScanSolve AI Tutor · Accepted Answer

here's the solution for the fraction multiplication problem.

\frac{16}{4} \times \frac{22}{14}

Simplify by cross-cancellation.
- We can simplify 16 (numerator of the first fraction) and 4 (denominator of the first fraction) by dividing both by their common factor, 4.
$16 \div 4 = 4$ $4 \div 4 = 1$
The expression becomes:
$\frac{4}{1} \times \frac{22}{14}$
- We can simplify 22 (numerator of the second fraction) and 14 (denominator of the second fraction) by dividing both by their common factor, 2.
$22 \div 2 = 11$ $14 \div 2 = 7$
The expression now becomes:
$\frac{4}{1} \times \frac{11}{7}$
Multiply the numerators together and the denominators together.
$\frac{4 \times 11}{1 \times 7} = \frac{44}{7}$
The fraction $\frac{44}{7}$ is an improper fraction and is already in its simplest form, as 44 and 7 share no common factors other than 1.
The result is $\frac{44}{7}$ .

Solve the fraction multiplication: 16/4 * 22/14