Solve 11/8*15/6

$$1 \frac { 1 } { 8 } \times 1 \frac { 5 } { 6 }$$

Evaluate

$$\frac{33}{16}=2.0625$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+1}{8}\times \frac{1\times 6+5}{6}$$

Add 8 and 1 to get 9.

$$\frac{9}{8}\times \frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{9}{8}\times \frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{9}{8}\times \frac{11}{6}$$

Multiply \frac{9}{8} times \frac{11}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 11}{8\times 6}$$

Do the multiplications in the fraction \frac{9\times 11}{8\times 6}.

$$\frac{99}{48}$$

Reduce the fraction \frac{99}{48} to lowest terms by extracting and canceling out 3.

$$\frac{33}{16}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {4}} = 2\frac{1}{16} = 2.0625$$