Solve 2+4/5/3frac{5{3}}=2

$$\frac { 2 + \frac { 4 } { 5 } } { 3 \frac { 5 } { 3 } } = 2$$

Verify

Solution Steps

Convert 2 to fraction \frac{10}{5}.

$$\frac{\frac{10}{5}+\frac{4}{5}}{\frac{3\times 3+5}{3}}=2$$

Since \frac{10}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{10+4}{5}}{\frac{3\times 3+5}{3}}=2$$

Add 10 and 4 to get 14.

$$\frac{\frac{14}{5}}{\frac{3\times 3+5}{3}}=2$$

Multiply 3 and 3 to get 9.

$$\frac{\frac{14}{5}}{\frac{9+5}{3}}=2$$

Add 9 and 5 to get 14.

$$\frac{\frac{14}{5}}{\frac{14}{3}}=2$$

Divide \frac{14}{5} by \frac{14}{3} by multiplying \frac{14}{5} by the reciprocal of \frac{14}{3}.

$$\frac{14}{5}\times \frac{3}{14}=2$$

Multiply \frac{14}{5} times \frac{3}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 3}{5\times 14}=2$$

Cancel out 14 in both numerator and denominator.

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

Convert 2 to fraction \frac{10}{5}.

$$\frac{3}{5}=\frac{10}{5}$$

Compare \frac{3}{5} and \frac{10}{5}.

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