Question

1. solve. $2\frac{1}{4} \times \frac{5}{7}$

Explanation:

Step1: Convert mixed numbers to improper fractions

$2\frac{1}{4} = \frac{2\times4 + 1}{4} = \frac{9}{4}$, $5\frac{1}{7} = \frac{5\times7 + 1}{7} = \frac{36}{7}$

Step2: Multiply the two improper fractions

$\frac{9}{4} \times \frac{36}{7} = \frac{9\times36}{4\times7}$

Step3: Simplify the expression

$\frac{9\times9}{1\times7} = \frac{81}{7}$

Step4: Convert back to mixed number (optional)

$\frac{81}{7} = 11\frac{4}{7}$

Answer:

$\frac{81}{7}$ or $11\frac{4}{7}$