Solve 13div17/15*11/52

$$13 \div 1 \frac { 7 } { 15 } \times \frac { 11 } { 52 }$$

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Divide 13 by \frac{1\times 15+7}{15} by multiplying 13 by the reciprocal of \frac{1\times 15+7}{15}.

$$\frac{13\times 15}{1\times 15+7}\times \frac{11}{52}$$

Multiply 13 and 15 to get 195.

$$\frac{195}{1\times 15+7}\times \frac{11}{52}$$

Multiply 1 and 15 to get 15.

$$\frac{195}{15+7}\times \frac{11}{52}$$

Add 15 and 7 to get 22.

$$\frac{195}{22}\times \frac{11}{52}$$

Multiply \frac{195}{22} times \frac{11}{52} by multiplying numerator times numerator and denominator times denominator.

$$\frac{195\times 11}{22\times 52}$$

Do the multiplications in the fraction \frac{195\times 11}{22\times 52}.

$$\frac{2145}{1144}$$

Reduce the fraction \frac{2145}{1144} to lowest terms by extracting and canceling out 143.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$