Solve 21/5*13/7div71/3

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

Evaluate

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

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{\frac{10+1}{5}\times \frac{1\times 7+3}{7}}{\frac{7\times 3+1}{3}}$$

Add 10 and 1 to get 11.

$$\frac{\frac{11}{5}\times \frac{1\times 7+3}{7}}{\frac{7\times 3+1}{3}}$$

Multiply 1 and 7 to get 7.

$$\frac{\frac{11}{5}\times \frac{7+3}{7}}{\frac{7\times 3+1}{3}}$$

Add 7 and 3 to get 10.

$$\frac{\frac{11}{5}\times \frac{10}{7}}{\frac{7\times 3+1}{3}}$$

Multiply \frac{11}{5} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{11\times 10}{5\times 7}}{\frac{7\times 3+1}{3}}$$

Do the multiplications in the fraction \frac{11\times 10}{5\times 7}.

$$\frac{\frac{110}{35}}{\frac{7\times 3+1}{3}}$$

Reduce the fraction \frac{110}{35} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{22}{7}}{\frac{7\times 3+1}{3}}$$

Multiply 7 and 3 to get 21.

$$\frac{\frac{22}{7}}{\frac{21+1}{3}}$$

Add 21 and 1 to get 22.

$$\frac{\frac{22}{7}}{\frac{22}{3}}$$

Divide \frac{22}{7} by \frac{22}{3} by multiplying \frac{22}{7} by the reciprocal of \frac{22}{3}.

$$\frac{22}{7}\times \frac{3}{22}$$

Multiply \frac{22}{7} times \frac{3}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 3}{7\times 22}$$

Cancel out 22 in both numerator and denominator.

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

Factor

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