Multiply the fractions: 14/18 × 16/2

Question

ScanSolve AI Tutor · Accepted Answer

Here's the solution for the fraction multiplication problem.

\frac{14}{18} \times \frac{16}{2}

Simplify by cross-cancellation.
- We can simplify 14 (numerator of the first fraction) and 2 (denominator of the second fraction) by dividing both by their common factor, 2.
$14 \div 2 = 7$ $2 \div 2 = 1$
The expression becomes:
$\frac{7}{18} \times \frac{16}{1}$
- We can simplify 16 (numerator of the second fraction) and 18 (denominator of the first fraction) by dividing both by their common factor, 2.
$16 \div 2 = 8$ $18 \div 2 = 9$
The expression now becomes:
$\frac{7}{9} \times \frac{8}{1}$
Multiply the numerators together and the denominators together.
$\frac{7 \times 8}{9 \times 1} = \frac{56}{9}$
The fraction $\frac{56}{9}$ is an improper fraction and is already in its simplest form, as 56 and 9 share no common factors other than 1.
The result is $\frac{56}{9}$ .

Multiply the fractions: 14/18 * 16/2