Solve 98/15*7/9+87/15*7/9=

$$9 \frac { 8 } { 15 } \cdot \frac { 7 } { 9 } + 8 \frac { 7 } { 15 } \cdot \frac { 7 } { 9 } =$$

Evaluate

$$14$$

Solution Steps

Multiply 9 and 15 to get 135.

$$\frac{135+8}{15}\times \frac{7}{9}+\frac{8\times 15+7}{15}\times \frac{7}{9}$$

Add 135 and 8 to get 143.

$$\frac{143}{15}\times \frac{7}{9}+\frac{8\times 15+7}{15}\times \frac{7}{9}$$

Multiply \frac{143}{15} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{143\times 7}{15\times 9}+\frac{8\times 15+7}{15}\times \frac{7}{9}$$

Do the multiplications in the fraction \frac{143\times 7}{15\times 9}.

$$\frac{1001}{135}+\frac{8\times 15+7}{15}\times \frac{7}{9}$$

Multiply 8 and 15 to get 120.

$$\frac{1001}{135}+\frac{120+7}{15}\times \frac{7}{9}$$

Add 120 and 7 to get 127.

$$\frac{1001}{135}+\frac{127}{15}\times \frac{7}{9}$$

Multiply \frac{127}{15} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1001}{135}+\frac{127\times 7}{15\times 9}$$

Do the multiplications in the fraction \frac{127\times 7}{15\times 9}.

$$\frac{1001}{135}+\frac{889}{135}$$

Since \frac{1001}{135} and \frac{889}{135} have the same denominator, add them by adding their numerators.

$$\frac{1001+889}{135}$$

Add 1001 and 889 to get 1890.

$$\frac{1890}{135}$$

Divide 1890 by 135 to get 14.

$$14$$

Factor

$$2\times 7$$