Solve =2/1*2/5:3/10-2/10

$$= \frac { 2 } { 1 } \cdot \frac { 2 } { 5 } : \frac { 3 } { 10 } - \frac { 2 } { 10 }$$

Evaluate

$$\frac{37}{15}\approx 2.466666667$$

Solution Steps

Anything divided by one gives itself.

$$\frac{2\times \frac{2}{5}}{\frac{3}{10}}-\frac{2}{10}$$

Express 2\times \frac{2}{5} as a single fraction.

$$\frac{\frac{2\times 2}{5}}{\frac{3}{10}}-\frac{2}{10}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{4}{5}}{\frac{3}{10}}-\frac{2}{10}$$

Divide \frac{4}{5} by \frac{3}{10} by multiplying \frac{4}{5} by the reciprocal of \frac{3}{10}.

$$\frac{4}{5}\times \frac{10}{3}-\frac{2}{10}$$

Multiply \frac{4}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 10}{5\times 3}-\frac{2}{10}$$

Do the multiplications in the fraction \frac{4\times 10}{5\times 3}.

$$\frac{40}{15}-\frac{2}{10}$$

Reduce the fraction \frac{40}{15} to lowest terms by extracting and canceling out 5.

$$\frac{8}{3}-\frac{2}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8}{3}-\frac{1}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{8}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{40}{15}-\frac{3}{15}$$

Since \frac{40}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-3}{15}$$

Subtract 3 from 40 to get 37.

$$\frac{37}{15}$$

Factor

$$\frac{37}{3 \cdot 5} = 2\frac{7}{15} = 2.466666666666667$$