What is the result of the fraction multiplication 14/8 × 18/24?

Question

ScanSolve AI Tutor · Accepted Answer

Here's the solution for the fraction multiplication problem.

\frac{14}{8} \times \frac{18}{24}

Simplify by cross-cancellation.
- We can simplify 14 (numerator) and 8 (denominator) by dividing both by their common factor, 2.
$14 \div 2 = 7$ $8 \div 2 = 4$
The expression becomes:
$\frac{7}{4} \times \frac{18}{24}$
- We can simplify 18 (numerator) and 24 (denominator) by dividing both by their common factor, 6.
$18 \div 6 = 3$ $24 \div 6 = 4$
The expression now becomes:
$\frac{7}{4} \times \frac{3}{4}$
Multiply the numerators together and the denominators together.
$\frac{7 \times 3}{4 \times 4} = \frac{21}{16}$
The fraction $\frac{21}{16}$ is already in its simplest form, as 21 and 16 share no common factors other than 1.
The result is $\frac{21}{16}$ .

What is the result of the fraction multiplication (14)/(8) x (18)/(24)?