Solve 21/7div3/4=

$$2 \frac { 1 } { 7 } \div \frac { 3 } { 4 } =$$

Evaluate

$$\frac{20}{7}\approx 2.857142857$$

Solution Steps

Divide \frac{2\times 7+1}{7} by \frac{3}{4} by multiplying \frac{2\times 7+1}{7} by the reciprocal of \frac{3}{4}.

$$\frac{\left(2\times 7+1\right)\times 4}{7\times 3}$$

Multiply 2 and 7 to get 14.

$$\frac{\left(14+1\right)\times 4}{7\times 3}$$

Add 14 and 1 to get 15.

$$\frac{15\times 4}{7\times 3}$$

Multiply 15 and 4 to get 60.

$$\frac{60}{7\times 3}$$

Multiply 7 and 3 to get 21.

$$\frac{60}{21}$$

Reduce the fraction \frac{60}{21} to lowest terms by extracting and canceling out 3.

$$\frac{20}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{7} = 2\frac{6}{7} = 2.857142857142857$$