Solve (9/8+5/16+-7/16)

$$( \frac { 9 } { 8 } + \frac { 5 } { 16 } + \frac { - 7 } { 16 } )$$

Evaluate

$$1$$

Solution Steps

Least common multiple of 8 and 16 is 16. Convert \frac{9}{8} and \frac{5}{16} to fractions with denominator 16.

$$\frac{18}{16}+\frac{5}{16}+\frac{-7}{16}$$

Since \frac{18}{16} and \frac{5}{16} have the same denominator, add them by adding their numerators.

$$\frac{18+5}{16}+\frac{-7}{16}$$

Add 18 and 5 to get 23.

$$\frac{23}{16}+\frac{-7}{16}$$

Fraction \frac{-7}{16} can be rewritten as -\frac{7}{16} by extracting the negative sign.

$$\frac{23}{16}-\frac{7}{16}$$

Since \frac{23}{16} and \frac{7}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-7}{16}$$

Subtract 7 from 23 to get 16.

$$\frac{16}{16}$$

Divide 16 by 16 to get 1.

$$1$$

Factor

$$1$$