Solve 21/4*31/6

$$2 \frac { 1 } { 4 } \times 3 \frac { 1 } { 6 }$$

Evaluate

$$\frac{57}{8}=7.125$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}\times \frac{3\times 6+1}{6}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}\times \frac{3\times 6+1}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{9}{4}\times \frac{18+1}{6}$$

Add 18 and 1 to get 19.

$$\frac{9}{4}\times \frac{19}{6}$$

Multiply \frac{9}{4} times \frac{19}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 19}{4\times 6}$$

Do the multiplications in the fraction \frac{9\times 19}{4\times 6}.

$$\frac{171}{24}$$

Reduce the fraction \frac{171}{24} to lowest terms by extracting and canceling out 3.

$$\frac{57}{8}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {3}} = 7\frac{1}{8} = 7.125$$