Solve 96/25*33/4-8/9

$$\frac { 96 } { 25 } \cdot 3 \frac { 3 } { 4 } - \frac { 8 } { 9 }$$

Evaluate

$$\frac{608}{45}\approx 13.511111111$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{96}{25}\times \frac{12+3}{4}-\frac{8}{9}$$

Add 12 and 3 to get 15.

$$\frac{96}{25}\times \frac{15}{4}-\frac{8}{9}$$

Multiply \frac{96}{25} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{96\times 15}{25\times 4}-\frac{8}{9}$$

Do the multiplications in the fraction \frac{96\times 15}{25\times 4}.

$$\frac{1440}{100}-\frac{8}{9}$$

Reduce the fraction \frac{1440}{100} to lowest terms by extracting and canceling out 20.

$$\frac{72}{5}-\frac{8}{9}$$

Least common multiple of 5 and 9 is 45. Convert \frac{72}{5} and \frac{8}{9} to fractions with denominator 45.

$$\frac{648}{45}-\frac{40}{45}$$

Since \frac{648}{45} and \frac{40}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{648-40}{45}$$

Subtract 40 from 648 to get 608.

$$\frac{608}{45}$$

Factor

$$\frac{2 ^ {5} \cdot 19}{3 ^ {2} \cdot 5} = 13\frac{23}{45} = 13.511111111111111$$