Solve 2+5/8-3+21/9

$$2 + \frac { 5 } { 8 } - 3 + 2 \frac { 1 } { 9 }$$

Evaluate

$$\frac{125}{72}\approx 1.736111111$$

Solution Steps

Convert 2 to fraction \frac{16}{8}.

$$\frac{16}{8}+\frac{5}{8}-3+\frac{2\times 9+1}{9}$$

Since \frac{16}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{16+5}{8}-3+\frac{2\times 9+1}{9}$$

Add 16 and 5 to get 21.

$$\frac{21}{8}-3+\frac{2\times 9+1}{9}$$

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

$$\frac{21}{8}-\frac{24}{8}+\frac{2\times 9+1}{9}$$

Since \frac{21}{8} and \frac{24}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-24}{8}+\frac{2\times 9+1}{9}$$

Subtract 24 from 21 to get -3.

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

Multiply 2 and 9 to get 18.

$$-\frac{3}{8}+\frac{18+1}{9}$$

Add 18 and 1 to get 19.

$$-\frac{3}{8}+\frac{19}{9}$$

Least common multiple of 8 and 9 is 72. Convert -\frac{3}{8} and \frac{19}{9} to fractions with denominator 72.

$$-\frac{27}{72}+\frac{152}{72}$$

Since -\frac{27}{72} and \frac{152}{72} have the same denominator, add them by adding their numerators.

$$\frac{-27+152}{72}$$

Add -27 and 152 to get 125.

$$\frac{125}{72}$$

Factor

$$\frac{5 ^ {3}}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{53}{72} = 1.7361111111111112$$