Solve -7/4-9/-5

$$\frac { - 7 } { 4 } - \frac { 9 } { - 5 }$$

Evaluate

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

Solution Steps

Fraction \frac{-7}{4} can be rewritten as -\frac{7}{4} by extracting the negative sign.

$$-\frac{7}{4}-\frac{9}{-5}$$

Fraction \frac{9}{-5} can be rewritten as -\frac{9}{5} by extracting the negative sign.

$$-\frac{7}{4}-\left(-\frac{9}{5}\right)$$

The opposite of -\frac{9}{5} is \frac{9}{5}.

$$-\frac{7}{4}+\frac{9}{5}$$

Least common multiple of 4 and 5 is 20. Convert -\frac{7}{4} and \frac{9}{5} to fractions with denominator 20.

$$-\frac{35}{20}+\frac{36}{20}$$

Since -\frac{35}{20} and \frac{36}{20} have the same denominator, add them by adding their numerators.

$$\frac{-35+36}{20}$$

Add -35 and 36 to get 1.

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

Factor

$$\frac{1}{2 ^ {2} \cdot 5} = 0.05$$