Solve 31/2div5/6=

$$3 \frac { 1 } { 2 } \div \frac { 5 } { 6 } =$$

Evaluate

$$\frac{21}{5}=4.2$$

Solution Steps

Divide \frac{3\times 2+1}{2} by \frac{5}{6} by multiplying \frac{3\times 2+1}{2} by the reciprocal of \frac{5}{6}.

$$\frac{\left(3\times 2+1\right)\times 6}{2\times 5}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\left(1+2\times 3\right)}{5}$$

Multiply 2 and 3 to get 6.

$$\frac{3\left(1+6\right)}{5}$$

Add 1 and 6 to get 7.

$$\frac{3\times 7}{5}$$

Multiply 3 and 7 to get 21.

$$\frac{21}{5}$$

Factor

$$\frac{3 \cdot 7}{5} = 4\frac{1}{5} = 4.2$$