Solve 53/8-7/9

$$5 \frac{ 3 }{ 8 } - \frac{ 7 }{ 9 }$$

Evaluate

$$\frac{331}{72}\approx 4.597222222$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+3}{8}-\frac{7}{9}$$

Add 40 and 3 to get 43.

$$\frac{43}{8}-\frac{7}{9}$$

Least common multiple of 8 and 9 is 72. Convert \frac{43}{8} and \frac{7}{9} to fractions with denominator 72.

$$\frac{387}{72}-\frac{56}{72}$$

Since \frac{387}{72} and \frac{56}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{387-56}{72}$$

Subtract 56 from 387 to get 331.

$$\frac{331}{72}$$

Factor

$$\frac{331}{2 ^ {3} \cdot 3 ^ {2}} = 4\frac{43}{72} = 4.597222222222222$$