Solve -9/4*2+23/4

$$- \frac { 9 } { 4 } \times 2 + \frac { 23 } { 4 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Express -\frac{9}{4}\times 2 as a single fraction.

$$\frac{-9\times 2}{4}+\frac{23}{4}$$

Multiply -9 and 2 to get -18.

$$\frac{-18}{4}+\frac{23}{4}$$

Reduce the fraction \frac{-18}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{2}+\frac{23}{4}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{9}{2} and \frac{23}{4} to fractions with denominator 4.

$$-\frac{18}{4}+\frac{23}{4}$$

Since -\frac{18}{4} and \frac{23}{4} have the same denominator, add them by adding their numerators.

$$\frac{-18+23}{4}$$

Add -18 and 23 to get 5.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$