Solve 5*2/7/frac{3{5}}

$$\frac { 5 \cdot \frac { 2 } { 7 } } { \frac { 3 } { 5 } }$$

Evaluate

$$\frac{50}{21}\approx 2.380952381$$

Solution Steps

Express 5\times \frac{2}{7} as a single fraction.

$$\frac{\frac{5\times 2}{7}}{\frac{3}{5}}$$

Multiply 5 and 2 to get 10.

$$\frac{\frac{10}{7}}{\frac{3}{5}}$$

Divide \frac{10}{7} by \frac{3}{5} by multiplying \frac{10}{7} by the reciprocal of \frac{3}{5}.

$$\frac{10}{7}\times \frac{5}{3}$$

Multiply \frac{10}{7} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 5}{7\times 3}$$

Do the multiplications in the fraction \frac{10\times 5}{7\times 3}.

$$\frac{50}{21}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3 \cdot 7} = 2\frac{8}{21} = 2.380952380952381$$