Solve 55/8-4/9

$$5 \frac { 5 } { 8 } - \frac { 4 } { 9 }$$

Evaluate

$$\frac{373}{72}\approx 5.180555556$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+5}{8}-\frac{4}{9}$$

Add 40 and 5 to get 45.

$$\frac{45}{8}-\frac{4}{9}$$

Least common multiple of 8 and 9 is 72. Convert \frac{45}{8} and \frac{4}{9} to fractions with denominator 72.

$$\frac{405}{72}-\frac{32}{72}$$

Since \frac{405}{72} and \frac{32}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{405-32}{72}$$

Subtract 32 from 405 to get 373.

$$\frac{373}{72}$$

Factor

$$\frac{373}{2 ^ {3} \cdot 3 ^ {2}} = 5\frac{13}{72} = 5.180555555555555$$