Solve 2/5div2/3=2/5

$$\frac { 2 } { 5 } \div \frac { 2 } { 3 } = \frac { 2 } { 5 }$$

Verify

Solution Steps

Divide \frac{2}{5} by \frac{2}{3} by multiplying \frac{2}{5} by the reciprocal of \frac{2}{3}.

$$\frac{2}{5}\times \frac{3}{2}=\frac{2}{5}$$

Multiply \frac{2}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{5\times 2}=\frac{2}{5}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3}{5}=\frac{2}{5}$$

Compare \frac{3}{5} and \frac{2}{5}.

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