Solve 1.3div17/15*11/52

$$1.3 \div 1 \frac { 7 } { 15 } \times \frac { 11 } { 52 }$$

Evaluate

$$0.1875$$

Solution Steps

Divide 1.3 by \frac{1\times 15+7}{15} by multiplying 1.3 by the reciprocal of \frac{1\times 15+7}{15}.

$$\frac{1.3\times 15}{1\times 15+7}\times \frac{11}{52}$$

Multiply 1.3 and 15 to get 19.5.

$$\frac{19.5}{1\times 15+7}\times \frac{11}{52}$$

Multiply 1 and 15 to get 15.

$$\frac{19.5}{15+7}\times \frac{11}{52}$$

Add 15 and 7 to get 22.

$$\frac{19.5}{22}\times \frac{11}{52}$$

Expand \frac{19.5}{22} by multiplying both numerator and the denominator by 10.

$$\frac{195}{220}\times \frac{11}{52}$$

Reduce the fraction \frac{195}{220} to lowest terms by extracting and canceling out 5.

$$\frac{39}{44}\times \frac{11}{52}$$

Multiply \frac{39}{44} times \frac{11}{52} by multiplying numerator times numerator and denominator times denominator.

$$\frac{39\times 11}{44\times 52}$$

Do the multiplications in the fraction \frac{39\times 11}{44\times 52}.

$$\frac{429}{2288}$$

Reduce the fraction \frac{429}{2288} to lowest terms by extracting and canceling out 143.

$$\frac{3}{16}$$

Factor

$$\frac{3}{2 ^ {4}} = 0.1875$$