Solve 34/9-25/18

$$3 \frac { 4 } { 9 } - 2 \frac { 5 } { 18 }$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{27+4}{9}-\frac{2\times 18+5}{18}$$

Add 27 and 4 to get 31.

$$\frac{31}{9}-\frac{2\times 18+5}{18}$$

Multiply 2 and 18 to get 36.

$$\frac{31}{9}-\frac{36+5}{18}$$

Add 36 and 5 to get 41.

$$\frac{31}{9}-\frac{41}{18}$$

Least common multiple of 9 and 18 is 18. Convert \frac{31}{9} and \frac{41}{18} to fractions with denominator 18.

$$\frac{62}{18}-\frac{41}{18}$$

Since \frac{62}{18} and \frac{41}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{62-41}{18}$$

Subtract 41 from 62 to get 21.

$$\frac{21}{18}$$

Reduce the fraction \frac{21}{18} to lowest terms by extracting and canceling out 3.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$