Solve 33/4-12/3*3/4

$$3 \frac { 3 } { 4 } - 1 \frac { 2 } { 3 } \times \frac { 3 } { 4 }$$

Evaluate

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

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}-\frac{1\times 3+2}{3}\times \frac{3}{4}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}-\frac{1\times 3+2}{3}\times \frac{3}{4}$$

Multiply 1 and 3 to get 3.

$$\frac{15}{4}-\frac{3+2}{3}\times \frac{3}{4}$$

Add 3 and 2 to get 5.

$$\frac{15}{4}-\frac{5}{3}\times \frac{3}{4}$$

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

$$\frac{15}{4}-\frac{5\times 3}{3\times 4}$$

Cancel out 3 in both numerator and denominator.

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

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

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