Question

1. solve.

$3\frac{1}{4} \times 4\frac{2}{7}$

Explanation:

Step1: Convert mixed numbers to improper fractions

$3\frac{1}{4} = \frac{3\times4 + 1}{4} = \frac{13}{4}$, $4\frac{2}{7} = \frac{4\times7 + 2}{7} = \frac{30}{7}$

Step2: Multiply the two improper fractions

$\frac{13}{4} \times \frac{30}{7} = \frac{13\times30}{4\times7}$

Step3: Simplify the fraction

$\frac{390}{28} = \frac{195}{14}$

Step4: Convert back to mixed number

$\frac{195}{14} = 13\frac{13}{14}$

Answer:

$13\frac{13}{14}$ (or $\frac{195}{14}$)