Solve 33/8*31/6

$$3 \frac { 3 } { 8 } \cdot 3 \frac { 1 } { 6 }$$

Evaluate

$$\frac{171}{16}=10.6875$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+3}{8}\times \frac{3\times 6+1}{6}$$

Add 24 and 3 to get 27.

$$\frac{27}{8}\times \frac{3\times 6+1}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{27}{8}\times \frac{18+1}{6}$$

Add 18 and 1 to get 19.

$$\frac{27}{8}\times \frac{19}{6}$$

Multiply \frac{27}{8} times \frac{19}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 19}{8\times 6}$$

Do the multiplications in the fraction \frac{27\times 19}{8\times 6}.

$$\frac{513}{48}$$

Reduce the fraction \frac{513}{48} to lowest terms by extracting and canceling out 3.

$$\frac{171}{16}$$

Factor

$$\frac{3 ^ {2} \cdot 19}{2 ^ {4}} = 10\frac{11}{16} = 10.6875$$