Solve the following fraction multiplication problem: 2/6 × 18/4

Question

ScanSolve AI Tutor · Accepted Answer

Here's the solution for the fraction multiplication problem.

\frac{2}{6} \times \frac{18}{4}

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

Solve the following fraction multiplication problem: (2)/(6) x (18)/(4)