Solve 37/12div2/3=

$$3 \frac { 7 } { 12 } \div \frac { 2 } { 3 } =$$

Evaluate

$$\frac{43}{8}=5.375$$

Solution Steps

Divide \frac{3\times 12+7}{12} by \frac{2}{3} by multiplying \frac{3\times 12+7}{12} by the reciprocal of \frac{2}{3}.

$$\frac{\left(3\times 12+7\right)\times 3}{12\times 2}$$

Cancel out 3 in both numerator and denominator.

$$\frac{7+3\times 12}{2\times 4}$$

Multiply 3 and 12 to get 36.

$$\frac{7+36}{2\times 4}$$

Add 7 and 36 to get 43.

$$\frac{43}{2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{43}{8}$$

Factor

$$\frac{43}{2 ^ {3}} = 5\frac{3}{8} = 5.375$$