Solve 11/10*33/4

$$1 \frac { 1 } { 10 } \times 3 \frac { 3 } { 4 }$$

Evaluate

$$\frac{33}{8}=4.125$$

Solution Steps

Multiply 1 and 10 to get 10.

$$\frac{10+1}{10}\times \frac{3\times 4+3}{4}$$

Add 10 and 1 to get 11.

$$\frac{11}{10}\times \frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{11}{10}\times \frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{11}{10}\times \frac{15}{4}$$

Multiply \frac{11}{10} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 15}{10\times 4}$$

Do the multiplications in the fraction \frac{11\times 15}{10\times 4}.

$$\frac{165}{40}$$

Reduce the fraction \frac{165}{40} to lowest terms by extracting and canceling out 5.

$$\frac{33}{8}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {3}} = 4\frac{1}{8} = 4.125$$