Solve (1/2+3/6)(3)/frac{7{10}}=

$$\frac { ( \frac { 1 } { 2 } + \frac { 3 } { 6 } ) ( 3 ) } { \frac { 7 } { 10 } } =$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{\left(\frac{1}{2}+\frac{1}{2}\right)\times 3}{\frac{7}{10}}$$

Since \frac{1}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1+1}{2}\times 3}{\frac{7}{10}}$$

Add 1 and 1 to get 2.

$$\frac{\frac{2}{2}\times 3}{\frac{7}{10}}$$

Divide 2 by 2 to get 1.

$$\frac{1\times 3}{\frac{7}{10}}$$

Multiply 1 and 3 to get 3.

$$\frac{3}{\frac{7}{10}}$$

Divide 3 by \frac{7}{10} by multiplying 3 by the reciprocal of \frac{7}{10}.

$$3\times \frac{10}{7}$$

Express 3\times \frac{10}{7} as a single fraction.

$$\frac{3\times 10}{7}$$

Multiply 3 and 10 to get 30.

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

Factor

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