Solve 3/4+2/2+41/2+5/2=

$$\frac { 3 } { 4 } + \frac { 2 } { 2 } + 4 \frac { 1 } { 2 } + \frac { 5 } { 2 } =$$

Evaluate

$$\frac{35}{4}=8.75$$

Solution Steps

Divide 2 by 2 to get 1.

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

Convert 1 to fraction \frac{4}{4}.

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

Since \frac{3}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

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

Add 3 and 4 to get 7.

$$\frac{7}{4}+\frac{4\times 2+1}{2}+\frac{5}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{7}{4}+\frac{8+1}{2}+\frac{5}{2}$$

Add 8 and 1 to get 9.

$$\frac{7}{4}+\frac{9}{2}+\frac{5}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{7}{4} and \frac{9}{2} to fractions with denominator 4.

$$\frac{7}{4}+\frac{18}{4}+\frac{5}{2}$$

Since \frac{7}{4} and \frac{18}{4} have the same denominator, add them by adding their numerators.

$$\frac{7+18}{4}+\frac{5}{2}$$

Add 7 and 18 to get 25.

$$\frac{25}{4}+\frac{5}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{25}{4} and \frac{5}{2} to fractions with denominator 4.

$$\frac{25}{4}+\frac{10}{4}$$

Since \frac{25}{4} and \frac{10}{4} have the same denominator, add them by adding their numerators.

$$\frac{25+10}{4}$$

Add 25 and 10 to get 35.

$$\frac{35}{4}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2}} = 8\frac{3}{4} = 8.75$$