Solve 45/9-3/5=

$$4 \frac { 5 } { 9 } - \frac { 3 } { 5 } =$$

Evaluate

$$\frac{178}{45}\approx 3.955555556$$

Solution Steps

Multiply 4 and 9 to get 36.

$$\frac{36+5}{9}-\frac{3}{5}$$

Add 36 and 5 to get 41.

$$\frac{41}{9}-\frac{3}{5}$$

Least common multiple of 9 and 5 is 45. Convert \frac{41}{9} and \frac{3}{5} to fractions with denominator 45.

$$\frac{205}{45}-\frac{27}{45}$$

Since \frac{205}{45} and \frac{27}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{205-27}{45}$$

Subtract 27 from 205 to get 178.

$$\frac{178}{45}$$

Factor

$$\frac{2 \cdot 89}{3 ^ {2} \cdot 5} = 3\frac{43}{45} = 3.9555555555555557$$