Solve 2/4--5/4

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

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$\frac{1}{2}-\left(-\frac{5}{4}\right)$$

The opposite of -\frac{5}{4} is \frac{5}{4}.

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

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{5}{4} to fractions with denominator 4.

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

Since \frac{2}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

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

Add 2 and 5 to get 7.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$