Solve 7/9(6/15+7/10)=

$$\frac { 7 } { 9 } ( \frac { 6 } { 15 } + \frac { 7 } { 10 } ) =$$

Evaluate

$$\frac{77}{90}\approx 0.855555556$$

Solution Steps

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{7}{9}\left(\frac{2}{5}+\frac{7}{10}\right)$$

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{7}{10} to fractions with denominator 10.

$$\frac{7}{9}\left(\frac{4}{10}+\frac{7}{10}\right)$$

Since \frac{4}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.

$$\frac{7}{9}\times \frac{4+7}{10}$$

Add 4 and 7 to get 11.

$$\frac{7}{9}\times \frac{11}{10}$$

Multiply \frac{7}{9} times \frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 11}{9\times 10}$$

Do the multiplications in the fraction \frac{7\times 11}{9\times 10}.

$$\frac{77}{90}$$

Factor

$$\frac{7 \cdot 11}{2 \cdot 3 ^ {2} \cdot 5} = 0.8555555555555555$$