Solve 31/5:0.4/3:21/2-1/15

$$\frac { 3 \frac { 1 } { 5 } : 0.4 } { 3 } : 2 \frac { 1 } { 2 } - \frac { 1 } { 15 }$$

Evaluate

$$1$$

Solution Steps

Divide \frac{\frac{\frac{3\times 5+1}{5}}{0.4}}{3} by \frac{2\times 2+1}{2} by multiplying \frac{\frac{\frac{3\times 5+1}{5}}{0.4}}{3} by the reciprocal of \frac{2\times 2+1}{2}.

$$\frac{\frac{\frac{3\times 5+1}{5}}{0.4}\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Express \frac{\frac{3\times 5+1}{5}}{0.4} as a single fraction.

$$\frac{\frac{3\times 5+1}{5\times 0.4}\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{15+1}{5\times 0.4}\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Add 15 and 1 to get 16.

$$\frac{\frac{16}{5\times 0.4}\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Multiply 5 and 0.4 to get 2.

$$\frac{\frac{16}{2}\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Divide 16 by 2 to get 8.

$$\frac{8\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Multiply 8 and 2 to get 16.

$$\frac{16}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Multiply 2 and 2 to get 4.

$$\frac{16}{3\left(4+1\right)}-\frac{1}{15}$$

Add 4 and 1 to get 5.

$$\frac{16}{3\times 5}-\frac{1}{15}$$

Multiply 3 and 5 to get 15.

$$\frac{16}{15}-\frac{1}{15}$$

Since \frac{16}{15} and \frac{1}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-1}{15}$$

Subtract 1 from 16 to get 15.

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

Divide 15 by 15 to get 1.

$$1$$

Factor

$$1$$