Solve 73/8+21/8+55/8=

$$7 \frac { 3 } { 8 } + 2 \frac { 1 } { 8 } + 5 \frac { 5 } { 8 } =$$

Evaluate

$$\frac{121}{8}=15.125$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+3}{8}+\frac{2\times 8+1}{8}+\frac{5\times 8+5}{8}$$

Add 56 and 3 to get 59.

$$\frac{59}{8}+\frac{2\times 8+1}{8}+\frac{5\times 8+5}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{59}{8}+\frac{16+1}{8}+\frac{5\times 8+5}{8}$$

Add 16 and 1 to get 17.

$$\frac{59}{8}+\frac{17}{8}+\frac{5\times 8+5}{8}$$

Since \frac{59}{8} and \frac{17}{8} have the same denominator, add them by adding their numerators.

$$\frac{59+17}{8}+\frac{5\times 8+5}{8}$$

Add 59 and 17 to get 76.

$$\frac{76}{8}+\frac{5\times 8+5}{8}$$

Reduce the fraction \frac{76}{8} to lowest terms by extracting and canceling out 4.

$$\frac{19}{2}+\frac{5\times 8+5}{8}$$

Multiply 5 and 8 to get 40.

$$\frac{19}{2}+\frac{40+5}{8}$$

Add 40 and 5 to get 45.

$$\frac{19}{2}+\frac{45}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{19}{2} and \frac{45}{8} to fractions with denominator 8.

$$\frac{76}{8}+\frac{45}{8}$$

Since \frac{76}{8} and \frac{45}{8} have the same denominator, add them by adding their numerators.

$$\frac{76+45}{8}$$

Add 76 and 45 to get 121.

$$\frac{121}{8}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {3}} = 15\frac{1}{8} = 15.125$$