Solve 4/7div(1/2*(1/7+3/7))

$$\frac { 4 } { 7 } \div ( \frac { 1 } { 2 } \times ( \frac { 1 } { 7 } + \frac { 3 } { 7 } ) )$$

Evaluate

$$2$$

Solution Steps

Since \frac{1}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4}{7}}{\frac{1}{2}\times \frac{1+3}{7}}$$

Add 1 and 3 to get 4.

$$\frac{\frac{4}{7}}{\frac{1}{2}\times \frac{4}{7}}$$

Multiply \frac{1}{2} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{4}{7}}{\frac{1\times 4}{2\times 7}}$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 7}.

$$\frac{\frac{4}{7}}{\frac{4}{14}}$$

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{4}{7}}{\frac{2}{7}}$$

Divide \frac{4}{7} by \frac{2}{7} by multiplying \frac{4}{7} by the reciprocal of \frac{2}{7}.

$$\frac{4}{7}\times \frac{7}{2}$$

Multiply \frac{4}{7} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 7}{7\times 2}$$

Cancel out 7 in both numerator and denominator.

$$\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$2$$

Factor

$$2$$