Solve 4/3div1/3-4/5div1/5+frac{1}{2}

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

Evaluate

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

Solution Steps

Divide \frac{4}{3} by \frac{1}{3} by multiplying \frac{4}{3} by the reciprocal of \frac{1}{3}.

$$\frac{4}{3}\times 3-\frac{\frac{4}{5}}{\frac{1}{5}}+\frac{1}{2}$$

Cancel out 3 and 3.

$$4-\frac{\frac{4}{5}}{\frac{1}{5}}+\frac{1}{2}$$

Divide \frac{4}{5} by \frac{1}{5} by multiplying \frac{4}{5} by the reciprocal of \frac{1}{5}.

$$4-\frac{4}{5}\times 5+\frac{1}{2}$$

Cancel out 5 and 5.

$$4-4+\frac{1}{2}$$

Subtract 4 from 4 to get 0.

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

Factor

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