Solve 113/7/11frac{5{7}}

$$\frac { 11 \frac { 3 } { 7 } } { 11 \frac { 5 } { 7 } }$$

Evaluate

$$\frac{40}{41}\approx 0.975609756$$

Solution Steps

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

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

Cancel out 7 in both numerator and denominator.

$$\frac{3+7\times 11}{5+7\times 11}$$

Multiply 7 and 11 to get 77.

$$\frac{3+77}{5+7\times 11}$$

Add 3 and 77 to get 80.

$$\frac{80}{5+7\times 11}$$

Multiply 7 and 11 to get 77.

$$\frac{80}{5+77}$$

Add 5 and 77 to get 82.

$$\frac{80}{82}$$

Reduce the fraction \frac{80}{82} to lowest terms by extracting and canceling out 2.

$$\frac{40}{41}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{41} = 0.975609756097561$$