Solve 33/8-23/9

$$3 \frac { 3 } { 8 } - 2 \frac { 3 } { 9 }$$

Evaluate

$$\frac{25}{24}\approx 1.041666667$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+3}{8}-\frac{2\times 9+3}{9}$$

Add 24 and 3 to get 27.

$$\frac{27}{8}-\frac{2\times 9+3}{9}$$

Multiply 2 and 9 to get 18.

$$\frac{27}{8}-\frac{18+3}{9}$$

Add 18 and 3 to get 21.

$$\frac{27}{8}-\frac{21}{9}$$

Reduce the fraction \frac{21}{9} to lowest terms by extracting and canceling out 3.

$$\frac{27}{8}-\frac{7}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{27}{8} and \frac{7}{3} to fractions with denominator 24.

$$\frac{81}{24}-\frac{56}{24}$$

Since \frac{81}{24} and \frac{56}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-56}{24}$$

Subtract 56 from 81 to get 25.

$$\frac{25}{24}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3} = 1\frac{1}{24} = 1.0416666666666667$$