Solve 3/8+11/2+11/4

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

Evaluate

$$\frac{25}{8}=3.125$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Least common multiple of 8 and 2 is 8. Convert \frac{3}{8} and \frac{3}{2} to fractions with denominator 8.

$$\frac{3}{8}+\frac{12}{8}+\frac{1\times 4+1}{4}$$

Since \frac{3}{8} and \frac{12}{8} have the same denominator, add them by adding their numerators.

$$\frac{3+12}{8}+\frac{1\times 4+1}{4}$$

Add 3 and 12 to get 15.

$$\frac{15}{8}+\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{15}{8}+\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{15}{8}+\frac{5}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{15}{8} and \frac{5}{4} to fractions with denominator 8.

$$\frac{15}{8}+\frac{10}{8}$$

Since \frac{15}{8} and \frac{10}{8} have the same denominator, add them by adding their numerators.

$$\frac{15+10}{8}$$

Add 15 and 10 to get 25.

$$\frac{25}{8}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3}} = 3\frac{1}{8} = 3.125$$