Solve 21/4*(1-1/5)div3/10

$$2 \frac { 1 } { 4 } \times (1- \frac{ 1 }{ 5 } ) \div \frac{ 3 }{ 10 }$$

Evaluate

$$6$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{\frac{8+1}{4}\left(1-\frac{1}{5}\right)}{\frac{3}{10}}$$

Add 8 and 1 to get 9.

$$\frac{\frac{9}{4}\left(1-\frac{1}{5}\right)}{\frac{3}{10}}$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{\frac{9}{4}\left(\frac{5}{5}-\frac{1}{5}\right)}{\frac{3}{10}}$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9}{4}\times \frac{5-1}{5}}{\frac{3}{10}}$$

Subtract 1 from 5 to get 4.

$$\frac{\frac{9}{4}\times \frac{4}{5}}{\frac{3}{10}}$$

Multiply \frac{9}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{9\times 4}{4\times 5}}{\frac{3}{10}}$$

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{9}{5}}{\frac{3}{10}}$$

Divide \frac{9}{5} by \frac{3}{10} by multiplying \frac{9}{5} by the reciprocal of \frac{3}{10}.

$$\frac{9}{5}\times \frac{10}{3}$$

Multiply \frac{9}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 10}{5\times 3}$$

Do the multiplications in the fraction \frac{9\times 10}{5\times 3}.

$$\frac{90}{15}$$

Divide 90 by 15 to get 6.

$$6$$

Factor

$$2\times 3$$