Solve 45/9-15/6=

$$4 \frac { 5 } { 9 } - 1 \frac { 5 } { 6 } =$$

Evaluate

$$\frac{49}{18}\approx 2.722222222$$

Solution Steps

Multiply 4 and 9 to get 36.

$$\frac{36+5}{9}-\frac{1\times 6+5}{6}$$

Add 36 and 5 to get 41.

$$\frac{41}{9}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{41}{9}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{41}{9}-\frac{11}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{41}{9} and \frac{11}{6} to fractions with denominator 18.

$$\frac{82}{18}-\frac{33}{18}$$

Since \frac{82}{18} and \frac{33}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{82-33}{18}$$

Subtract 33 from 82 to get 49.

$$\frac{49}{18}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 3 ^ {2}} = 2\frac{13}{18} = 2.7222222222222223$$