Solve 12/3*33/8

$$1 \frac { 2 } { 3 } \times 3 \frac { 3 } { 8 }$$

Evaluate

$$\frac{45}{8}=5.625$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3}\times \frac{3\times 8+3}{8}$$

Add 3 and 2 to get 5.

$$\frac{5}{3}\times \frac{3\times 8+3}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{5}{3}\times \frac{24+3}{8}$$

Add 24 and 3 to get 27.

$$\frac{5}{3}\times \frac{27}{8}$$

Multiply \frac{5}{3} times \frac{27}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 27}{3\times 8}$$

Do the multiplications in the fraction \frac{5\times 27}{3\times 8}.

$$\frac{135}{24}$$

Reduce the fraction \frac{135}{24} to lowest terms by extracting and canceling out 3.

$$\frac{45}{8}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {3}} = 5\frac{5}{8} = 5.625$$