Solve 75/9-32/5

$$7 \frac { 5 } { 9 } - 3 \frac { 2 } { 5 }$$

Evaluate

$$\frac{187}{45}\approx 4.155555556$$

Solution Steps

Multiply 7 and 9 to get 63.

$$\frac{63+5}{9}-\frac{3\times 5+2}{5}$$

Add 63 and 5 to get 68.

$$\frac{68}{9}-\frac{3\times 5+2}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{68}{9}-\frac{15+2}{5}$$

Add 15 and 2 to get 17.

$$\frac{68}{9}-\frac{17}{5}$$

Least common multiple of 9 and 5 is 45. Convert \frac{68}{9} and \frac{17}{5} to fractions with denominator 45.

$$\frac{340}{45}-\frac{153}{45}$$

Since \frac{340}{45} and \frac{153}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{340-153}{45}$$

Subtract 153 from 340 to get 187.

$$\frac{187}{45}$$

Factor

$$\frac{11 \cdot 17}{3 ^ {2} \cdot 5} = 4\frac{7}{45} = 4.155555555555556$$