# 2 \frac{1}{7} \cdot 3 \frac{2}{3}= Please step by step and discuss rul

$2\frac{1}{7}\cdot 3\frac{2}{3}=$
Please step by step and discuss rules in multiplying with whole numbers & fractions.
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Step 1
$2+\frac{1}{7}$ can be written as, $\frac{2×7+1}{7}=\frac{14+1}{7}=\frac{15}{7}$

$3+\frac{2}{3}$ can be written as, $\frac{3×3+2}{3}=\frac{11}{3}$
Step 2
$\frac{15}{7}+\frac{11}{3}$
$\frac{15×3+11×7}{7×3}$
$=\frac{45+77}{21}$
$=\frac{122}{21}$
$=5+\frac{17}{21}$