Solve 177/8+177/8+45/8

$$17 \frac { 7 } { 8 } + 17 \frac { 7 } { 8 } + 4 \frac { 5 } { 8 }$$

Evaluate

$$\frac{323}{8}=40.375$$

Solution Steps

Multiply 17 and 8 to get 136.

$$\frac{136+7}{8}+\frac{17\times 8+7}{8}+\frac{4\times 8+5}{8}$$

Add 136 and 7 to get 143.

$$\frac{143}{8}+\frac{17\times 8+7}{8}+\frac{4\times 8+5}{8}$$

Multiply 17 and 8 to get 136.

$$\frac{143}{8}+\frac{136+7}{8}+\frac{4\times 8+5}{8}$$

Add 136 and 7 to get 143.

$$\frac{143}{8}+\frac{143}{8}+\frac{4\times 8+5}{8}$$

Since \frac{143}{8} and \frac{143}{8} have the same denominator, add them by adding their numerators.

$$\frac{143+143}{8}+\frac{4\times 8+5}{8}$$

Add 143 and 143 to get 286.

$$\frac{286}{8}+\frac{4\times 8+5}{8}$$

Reduce the fraction \frac{286}{8} to lowest terms by extracting and canceling out 2.

$$\frac{143}{4}+\frac{4\times 8+5}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{143}{4}+\frac{32+5}{8}$$

Add 32 and 5 to get 37.

$$\frac{143}{4}+\frac{37}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{143}{4} and \frac{37}{8} to fractions with denominator 8.

$$\frac{286}{8}+\frac{37}{8}$$

Since \frac{286}{8} and \frac{37}{8} have the same denominator, add them by adding their numerators.

$$\frac{286+37}{8}$$

Add 286 and 37 to get 323.

$$\frac{323}{8}$$

Factor

$$\frac{17 \cdot 19}{2 ^ {3}} = 40\frac{3}{8} = 40.375$$