Solve 5/7div12/3

$$\frac{ 5 }{ 7 } \div 1 \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{3}{7}\approx 0.428571429$$

Solution Steps

Divide \frac{5}{7} by \frac{1\times 3+2}{3} by multiplying \frac{5}{7} by the reciprocal of \frac{1\times 3+2}{3}.

$$\frac{5\times 3}{7\left(1\times 3+2\right)}$$

Multiply 5 and 3 to get 15.

$$\frac{15}{7\left(1\times 3+2\right)}$$

Multiply 1 and 3 to get 3.

$$\frac{15}{7\left(3+2\right)}$$

Add 3 and 2 to get 5.

$$\frac{15}{7\times 5}$$

Multiply 7 and 5 to get 35.

$$\frac{15}{35}$$

Reduce the fraction \frac{15}{35} to lowest terms by extracting and canceling out 5.

$$\frac{3}{7}$$

Factor

$$\frac{3}{7} = 0.42857142857142855$$