Solve 81/4+6+3/8=

$$8 \frac { 1 } { 4 } + 6 + \frac { 3 } { 8 } =$$

Evaluate

$$\frac{117}{8}=14.625$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{32+1}{4}+6+\frac{3}{8}$$

Add 32 and 1 to get 33.

$$\frac{33}{4}+6+\frac{3}{8}$$

Convert 6 to fraction \frac{24}{4}.

$$\frac{33}{4}+\frac{24}{4}+\frac{3}{8}$$

Since \frac{33}{4} and \frac{24}{4} have the same denominator, add them by adding their numerators.

$$\frac{33+24}{4}+\frac{3}{8}$$

Add 33 and 24 to get 57.

$$\frac{57}{4}+\frac{3}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{57}{4} and \frac{3}{8} to fractions with denominator 8.

$$\frac{114}{8}+\frac{3}{8}$$

Since \frac{114}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

$$\frac{114+3}{8}$$

Add 114 and 3 to get 117.

$$\frac{117}{8}$$

Factor

$$\frac{3 ^ {2} \cdot 13}{2 ^ {3}} = 14\frac{5}{8} = 14.625$$