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

$$2 \frac { 1 } { 4 } + 1 \frac { 1 } { 3 } * 1 \frac { 1 } { 2 }$$

Evaluate

$$\frac{17}{4}=4.25$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}+\frac{1\times 3+1}{3}\times \frac{1\times 2+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}+\frac{1\times 3+1}{3}\times \frac{1\times 2+1}{2}$$

Multiply 1 and 3 to get 3.

$$\frac{9}{4}+\frac{3+1}{3}\times \frac{1\times 2+1}{2}$$

Add 3 and 1 to get 4.

$$\frac{9}{4}+\frac{4}{3}\times \frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{9}{4}+\frac{4}{3}\times \frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{9}{4}+\frac{4}{3}\times \frac{3}{2}$$

Multiply \frac{4}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{4}+\frac{4\times 3}{3\times 2}$$

Cancel out 3 in both numerator and denominator.

$$\frac{9}{4}+\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$\frac{9}{4}+2$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{9}{4}+\frac{8}{4}$$

Since \frac{9}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+8}{4}$$

Add 9 and 8 to get 17.

$$\frac{17}{4}$$

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$