Solve 3/7div5/14div111/15=

$$\frac { 3 } { 7 } \div \frac { 5 } { 14 } \div 1 \frac { 11 } { 15 } =$$

Evaluate

$$\frac{9}{13}\approx 0.692307692$$

Solution Steps

Divide \frac{\frac{3}{7}}{\frac{5}{14}} by \frac{1\times 15+11}{15} by multiplying \frac{\frac{3}{7}}{\frac{5}{14}} by the reciprocal of \frac{1\times 15+11}{15}.

$$\frac{\frac{3}{7}\times 15}{\frac{5}{14}\left(1\times 15+11\right)}$$

Express \frac{3}{7}\times 15 as a single fraction.

$$\frac{\frac{3\times 15}{7}}{\frac{5}{14}\left(1\times 15+11\right)}$$

Multiply 3 and 15 to get 45.

$$\frac{\frac{45}{7}}{\frac{5}{14}\left(1\times 15+11\right)}$$

Multiply 1 and 15 to get 15.

$$\frac{\frac{45}{7}}{\frac{5}{14}\left(15+11\right)}$$

Add 15 and 11 to get 26.

$$\frac{\frac{45}{7}}{\frac{5}{14}\times 26}$$

Express \frac{5}{14}\times 26 as a single fraction.

$$\frac{\frac{45}{7}}{\frac{5\times 26}{14}}$$

Multiply 5 and 26 to get 130.

$$\frac{\frac{45}{7}}{\frac{130}{14}}$$

Reduce the fraction \frac{130}{14} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{45}{7}}{\frac{65}{7}}$$

Divide \frac{45}{7} by \frac{65}{7} by multiplying \frac{45}{7} by the reciprocal of \frac{65}{7}.

$$\frac{45}{7}\times \frac{7}{65}$$

Multiply \frac{45}{7} times \frac{7}{65} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 7}{7\times 65}$$

Cancel out 7 in both numerator and denominator.

$$\frac{45}{65}$$

Reduce the fraction \frac{45}{65} to lowest terms by extracting and canceling out 5.

$$\frac{9}{13}$$

Factor

$$\frac{3 ^ {2}}{13} = 0.6923076923076923$$