Solve 12/4+11/4=

$$1 \frac { 2 } { 4 } + 1 \frac { 1 } { 4 } =$$

Evaluate

$$\frac{11}{4}=2.75$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 2 to get 6.

$$\frac{6}{4}+\frac{1\times 4+1}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{3}{2}+\frac{5}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{5}{4} to fractions with denominator 4.

$$\frac{6}{4}+\frac{5}{4}$$

Since \frac{6}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{4}$$

Add 6 and 5 to get 11.

$$\frac{11}{4}$$

Factor

$$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$$