Solve 41/2-31/3div5/6

$$4 \frac { 1 } { 2 } - 3 \frac { 1 } { 3 } \div \frac { 5 } { 6 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+1}{2}-\frac{\frac{3\times 3+1}{3}}{\frac{5}{6}}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}-\frac{\frac{3\times 3+1}{3}}{\frac{5}{6}}$$

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

$$\frac{9}{2}-\frac{\left(3\times 3+1\right)\times 6}{3\times 5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{9}{2}-\frac{2\left(1+3\times 3\right)}{5}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{2}-\frac{2\left(1+9\right)}{5}$$

Add 1 and 9 to get 10.

$$\frac{9}{2}-\frac{2\times 10}{5}$$

Multiply 2 and 10 to get 20.

$$\frac{9}{2}-\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$\frac{9}{2}-4$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{9}{2}-\frac{8}{2}$$

Since \frac{9}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-8}{2}$$

Subtract 8 from 9 to get 1.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$