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

$$\displaystyle{2}{\frac{{{1}}}{{{7}}}}\cdot{3}{\frac{{{2}}}{{{3}}}}=$$
Please step by step and discuss rules in multiplying with whole numbers & fractions.

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Jaylen Fountain
Step 1
$$\displaystyle{2}+{\frac{{{1}}}{{{7}}}}$$ can be written as, $$\displaystyle{\frac{{{2}\times{7}+{1}}}{{{7}}}}={\frac{{{14}+{1}}}{{{7}}}}={\frac{{{15}}}{{{7}}}}$$

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