Solve 31/12*21/4

$$3 \frac { 1 } { 12 } \times 2 \frac { 1 } { 4 }$$

Evaluate

$$\frac{111}{16}=6.9375$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+1}{12}\times \frac{2\times 4+1}{4}$$

Add 36 and 1 to get 37.

$$\frac{37}{12}\times \frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{37}{12}\times \frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{37}{12}\times \frac{9}{4}$$

Multiply \frac{37}{12} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37\times 9}{12\times 4}$$

Do the multiplications in the fraction \frac{37\times 9}{12\times 4}.

$$\frac{333}{48}$$

Reduce the fraction \frac{333}{48} to lowest terms by extracting and canceling out 3.

$$\frac{111}{16}$$

Factor

$$\frac{3 \cdot 37}{2 ^ {4}} = 6\frac{15}{16} = 6.9375$$