Solve 6div3/4div2/5

$$6 \div \frac { 3 } { 4 } \div \frac { 2 } { 5 }$$

Evaluate

$$20$$

Solution Steps

Divide \frac{6}{\frac{3}{4}} by \frac{2}{5} by multiplying \frac{6}{\frac{3}{4}} by the reciprocal of \frac{2}{5}.

$$\frac{6\times 5}{\frac{3}{4}\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\times 5}{\frac{3}{4}}$$

Multiply 3 and 5 to get 15.

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

Divide 15 by \frac{3}{4} by multiplying 15 by the reciprocal of \frac{3}{4}.

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

Express 15\times \frac{4}{3} as a single fraction.

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

Multiply 15 and 4 to get 60.

$$\frac{60}{3}$$

Divide 60 by 3 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$