Solve 181/8+261/4

$$18 \frac { 1 } { 8 } + 26 \frac { 1 } { 4 }$$

Evaluate

$$\frac{355}{8}=44.375$$

Solution Steps

Multiply 18 and 8 to get 144.

$$\frac{144+1}{8}+\frac{26\times 4+1}{4}$$

Add 144 and 1 to get 145.

$$\frac{145}{8}+\frac{26\times 4+1}{4}$$

Multiply 26 and 4 to get 104.

$$\frac{145}{8}+\frac{104+1}{4}$$

Add 104 and 1 to get 105.

$$\frac{145}{8}+\frac{105}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{145}{8} and \frac{105}{4} to fractions with denominator 8.

$$\frac{145}{8}+\frac{210}{8}$$

Since \frac{145}{8} and \frac{210}{8} have the same denominator, add them by adding their numerators.

$$\frac{145+210}{8}$$

Add 145 and 210 to get 355.

$$\frac{355}{8}$$

Factor

$$\frac{5 \cdot 71}{2 ^ {3}} = 44\frac{3}{8} = 44.375$$