Solve 9/8-21/4+3

$$\frac{ 9 }{ 8 } -2 \frac{ 1 }{ 4 } +3$$

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{9}{8}-\frac{8+1}{4}+3$$

Add 8 and 1 to get 9.

$$\frac{9}{8}-\frac{9}{4}+3$$

Least common multiple of 8 and 4 is 8. Convert \frac{9}{8} and \frac{9}{4} to fractions with denominator 8.

$$\frac{9}{8}-\frac{18}{8}+3$$

Since \frac{9}{8} and \frac{18}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-18}{8}+3$$

Subtract 18 from 9 to get -9.

$$-\frac{9}{8}+3$$

Convert 3 to fraction \frac{24}{8}.

$$-\frac{9}{8}+\frac{24}{8}$$

Since -\frac{9}{8} and \frac{24}{8} have the same denominator, add them by adding their numerators.

$$\frac{-9+24}{8}$$

Add -9 and 24 to get 15.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$