Solve 33/4*211/12=

$$3 \frac { 3 } { 4 } \times 2 \frac { 11 } { 12 } =$$

Evaluate

$$\frac{175}{16}=10.9375$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}\times \frac{2\times 12+11}{12}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}\times \frac{2\times 12+11}{12}$$

Multiply 2 and 12 to get 24.

$$\frac{15}{4}\times \frac{24+11}{12}$$

Add 24 and 11 to get 35.

$$\frac{15}{4}\times \frac{35}{12}$$

Multiply \frac{15}{4} times \frac{35}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 35}{4\times 12}$$

Do the multiplications in the fraction \frac{15\times 35}{4\times 12}.

$$\frac{525}{48}$$

Reduce the fraction \frac{525}{48} to lowest terms by extracting and canceling out 3.

$$\frac{175}{16}$$

Factor

$$\frac{5 ^ {2} \cdot 7}{2 ^ {4}} = 10\frac{15}{16} = 10.9375$$