Solve (3/4+05)-(4/5-02)

$$( \frac { 3 } { 4 } + 05 ) - ( \frac { 4 } { 5 } - 02 )$$

Evaluate

$$-\frac{1}{20}=-0.05$$

Solution Steps

Multiply 0 and 5 to get 0.

$$\frac{3}{4}+0-\left(\frac{4}{5}-0\times 2\right)$$

Add \frac{3}{4} and 0 to get \frac{3}{4}.

$$\frac{3}{4}-\left(\frac{4}{5}-0\times 2\right)$$

Multiply 0 and 2 to get 0.

$$\frac{3}{4}-\left(\frac{4}{5}-0\right)$$

Subtract 0 from \frac{4}{5} to get \frac{4}{5}.

$$\frac{3}{4}-\frac{4}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{4}{5} to fractions with denominator 20.

$$\frac{15}{20}-\frac{16}{20}$$

Since \frac{15}{20} and \frac{16}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-16}{20}$$

Subtract 16 from 15 to get -1.

$$-\frac{1}{20}$$

Factor

$$-\frac{1}{20} = -0.05$$