Question

1. solve. \\( 2\frac{3}{7} \times \frac{2}{3} \\)

Explanation:

Step1: Rewrite as improper fractions

Convert mixed numbers to improper fractions:
$2\frac{3}{7} = \frac{2\times7 + 3}{7} = \frac{17}{7}$
$\frac{1}{2\frac{2}{3}} = \frac{1}{\frac{2\times3 + 2}{3}} = \frac{3}{8}$

Step2: Multiply the two fractions

Multiply numerators and denominators:
$\frac{17}{7} \times \frac{3}{8} = \frac{17\times3}{7\times8}$

Step3: Calculate the product

Compute numerator and denominator:
$\frac{51}{56}$

Answer:

$\frac{51}{56}$