Solve 100%/116frac{2{3}%}*10

$$\frac { 100 \% } { 116 \frac { 2 } { 3 } \% } \times 10$$

Evaluate

$$\frac{60}{7}\approx 8.571428571$$

Solution Steps

Divide 100 by 100 to get 1.

$$\frac{1}{\frac{\frac{116\times 3+2}{3}}{100}}\times 10$$

Divide 1 by \frac{\frac{116\times 3+2}{3}}{100} by multiplying 1 by the reciprocal of \frac{\frac{116\times 3+2}{3}}{100}.

$$\frac{100}{\frac{116\times 3+2}{3}}\times 10$$

Multiply 116 and 3 to get 348.

$$\frac{100}{\frac{348+2}{3}}\times 10$$

Add 348 and 2 to get 350.

$$\frac{100}{\frac{350}{3}}\times 10$$

Divide 100 by \frac{350}{3} by multiplying 100 by the reciprocal of \frac{350}{3}.

$$100\times \frac{3}{350}\times 10$$

Express 100\times \frac{3}{350} as a single fraction.

$$\frac{100\times 3}{350}\times 10$$

Multiply 100 and 3 to get 300.

$$\frac{300}{350}\times 10$$

Reduce the fraction \frac{300}{350} to lowest terms by extracting and canceling out 50.

$$\frac{6}{7}\times 10$$

Express \frac{6}{7}\times 10 as a single fraction.

$$\frac{6\times 10}{7}$$

Multiply 6 and 10 to get 60.

$$\frac{60}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5}{7} = 8\frac{4}{7} = 8.571428571428571$$