Solve 8/17div7/5+5/7*7/7

$$\frac { 8 } { 17 } \div \frac { 7 } { 5 } + \frac { 5 } { 7 } \times \frac { 7 } { 7 }$$

Evaluate

$$\frac{125}{119}\approx 1.050420168$$

Solution Steps

Divide 7 by 7 to get 1.

$$\frac{\frac{8}{17}}{\frac{7}{5}}+\frac{5}{7}\times 1$$

Divide \frac{8}{17} by \frac{7}{5} by multiplying \frac{8}{17} by the reciprocal of \frac{7}{5}.

$$\frac{8}{17}\times \frac{5}{7}+\frac{5}{7}\times 1$$

Multiply \frac{8}{17} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 5}{17\times 7}+\frac{5}{7}\times 1$$

Do the multiplications in the fraction \frac{8\times 5}{17\times 7}.

$$\frac{40}{119}+\frac{5}{7}\times 1$$

Multiply \frac{5}{7} and 1 to get \frac{5}{7}.

$$\frac{40}{119}+\frac{5}{7}$$

Least common multiple of 119 and 7 is 119. Convert \frac{40}{119} and \frac{5}{7} to fractions with denominator 119.

$$\frac{40}{119}+\frac{85}{119}$$

Since \frac{40}{119} and \frac{85}{119} have the same denominator, add them by adding their numerators.

$$\frac{40+85}{119}$$

Add 40 and 85 to get 125.

$$\frac{125}{119}$$

Factor

$$\frac{5 ^ {3}}{7 \cdot 17} = 1\frac{6}{119} = 1.050420168067227$$