Solve 115/frac{6{7}+6/14}

$$\frac { 115 } { \frac { 6 } { 7 } + \frac { 6 } { 14 } }$$

Evaluate

$$\frac{805}{9}\approx 89.444444444$$

Solution Steps

Reduce the fraction \frac{6}{14} to lowest terms by extracting and canceling out 2.

$$\frac{115}{\frac{6}{7}+\frac{3}{7}}$$

Since \frac{6}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$\frac{115}{\frac{6+3}{7}}$$

Add 6 and 3 to get 9.

$$\frac{115}{\frac{9}{7}}$$

Divide 115 by \frac{9}{7} by multiplying 115 by the reciprocal of \frac{9}{7}.

$$115\times \frac{7}{9}$$

Express 115\times \frac{7}{9} as a single fraction.

$$\frac{115\times 7}{9}$$

Multiply 115 and 7 to get 805.

$$\frac{805}{9}$$

Factor

$$\frac{5 \cdot 7 \cdot 23}{3 ^ {2}} = 89\frac{4}{9} = 89.44444444444444$$