Solve 21/2-11/3*11/4

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

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{5}{2}-\frac{1\times 3+1}{3}\times \frac{1\times 4+1}{4}$$

Multiply 1 and 3 to get 3.

$$\frac{5}{2}-\frac{3+1}{3}\times \frac{1\times 4+1}{4}$$

Add 3 and 1 to get 4.

$$\frac{5}{2}-\frac{4}{3}\times \frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{5}{2}-\frac{4}{3}\times \frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}-\frac{4}{3}\times \frac{5}{4}$$

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

$$\frac{5}{2}-\frac{4\times 5}{3\times 4}$$

Cancel out 4 in both numerator and denominator.

$$\frac{5}{2}-\frac{5}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{5}{3} to fractions with denominator 6.

$$\frac{15}{6}-\frac{10}{6}$$

Since \frac{15}{6} and \frac{10}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-10}{6}$$

Subtract 10 from 15 to get 5.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$