Solve 7/13*8+7/13*9

$$\frac { 7 } { 13 } \times 8 + \frac { 7 } { 13 } \times 9$$

Evaluate

$$\frac{119}{13}\approx 9.153846154$$

Solution Steps

Express \frac{7}{13}\times 8 as a single fraction.

$$\frac{7\times 8}{13}+\frac{7}{13}\times 9$$

Multiply 7 and 8 to get 56.

$$\frac{56}{13}+\frac{7}{13}\times 9$$

Express \frac{7}{13}\times 9 as a single fraction.

$$\frac{56}{13}+\frac{7\times 9}{13}$$

Multiply 7 and 9 to get 63.

$$\frac{56}{13}+\frac{63}{13}$$

Since \frac{56}{13} and \frac{63}{13} have the same denominator, add them by adding their numerators.

$$\frac{56+63}{13}$$

Add 56 and 63 to get 119.

$$\frac{119}{13}$$

Factor

$$\frac{7 \cdot 17}{13} = 9\frac{2}{13} = 9.153846153846153$$