Solve 3(4-2)/1+frac{2{5}}

$$\frac { 3 ( 4 - 2 ) } { 1 + \frac { 2 } { 5 } }$$

Evaluate

$$\frac{30}{7}\approx 4.285714286$$

Solution Steps

Subtract 2 from 4 to get 2.

$$\frac{3\times 2}{1+\frac{2}{5}}$$

Multiply 3 and 2 to get 6.

$$\frac{6}{1+\frac{2}{5}}$$

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

$$\frac{6}{\frac{5}{5}+\frac{2}{5}}$$

Since \frac{5}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{6}{\frac{5+2}{5}}$$

Add 5 and 2 to get 7.

$$\frac{6}{\frac{7}{5}}$$

Divide 6 by \frac{7}{5} by multiplying 6 by the reciprocal of \frac{7}{5}.

$$6\times \frac{5}{7}$$

Express 6\times \frac{5}{7} as a single fraction.

$$\frac{6\times 5}{7}$$

Multiply 6 and 5 to get 30.

$$\frac{30}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5}{7} = 4\frac{2}{7} = 4.285714285714286$$