Solve 51/4+15/8

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

Evaluate

$$\frac{55}{8}=6.875$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+1}{4}+\frac{1\times 8+5}{8}$$

Add 20 and 1 to get 21.

$$\frac{21}{4}+\frac{1\times 8+5}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{21}{4}+\frac{8+5}{8}$$

Add 8 and 5 to get 13.

$$\frac{21}{4}+\frac{13}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{21}{4} and \frac{13}{8} to fractions with denominator 8.

$$\frac{42}{8}+\frac{13}{8}$$

Since \frac{42}{8} and \frac{13}{8} have the same denominator, add them by adding their numerators.

$$\frac{42+13}{8}$$

Add 42 and 13 to get 55.

$$\frac{55}{8}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {3}} = 6\frac{7}{8} = 6.875$$