Solve 75/9-15/6

$$7 \frac{ 5 }{ 9 } -1 \frac{ 5 }{ 6 }$$

Evaluate

$$\frac{103}{18}\approx 5.722222222$$

Solution Steps

Multiply 7 and 9 to get 63.

$$\frac{63+5}{9}-\frac{1\times 6+5}{6}$$

Add 63 and 5 to get 68.

$$\frac{68}{9}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{68}{9}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{68}{9}-\frac{11}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{68}{9} and \frac{11}{6} to fractions with denominator 18.

$$\frac{136}{18}-\frac{33}{18}$$

Since \frac{136}{18} and \frac{33}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{136-33}{18}$$

Subtract 33 from 136 to get 103.

$$\frac{103}{18}$$

Factor

$$\frac{103}{2 \cdot 3 ^ {2}} = 5\frac{13}{18} = 5.722222222222222$$