Solve 9/4*5/3-5/4

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

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Multiply \frac{9}{4} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{9\times 5}{4\times 3}.

$$\frac{45}{12}-\frac{5}{4}$$

Reduce the fraction \frac{45}{12} to lowest terms by extracting and canceling out 3.

$$\frac{15}{4}-\frac{5}{4}$$

Since \frac{15}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-5}{4}$$

Subtract 5 from 15 to get 10.

$$\frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$