Solve 3+24/8+55/8

$$3 + 2 \frac { 4 } { 8 } + 5 \frac { 5 } { 8 }$$

Evaluate

$$\frac{89}{8}=11.125$$

Solution Steps

Multiply 2 and 8 to get 16.

$$3+\frac{16+4}{8}+\frac{5\times 8+5}{8}$$

Add 16 and 4 to get 20.

$$3+\frac{20}{8}+\frac{5\times 8+5}{8}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

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

Convert 3 to fraction \frac{6}{2}.

$$\frac{6}{2}+\frac{5}{2}+\frac{5\times 8+5}{8}$$

Since \frac{6}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{2}+\frac{5\times 8+5}{8}$$

Add 6 and 5 to get 11.

$$\frac{11}{2}+\frac{5\times 8+5}{8}$$

Multiply 5 and 8 to get 40.

$$\frac{11}{2}+\frac{40+5}{8}$$

Add 40 and 5 to get 45.

$$\frac{11}{2}+\frac{45}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{11}{2} and \frac{45}{8} to fractions with denominator 8.

$$\frac{44}{8}+\frac{45}{8}$$

Since \frac{44}{8} and \frac{45}{8} have the same denominator, add them by adding their numerators.

$$\frac{44+45}{8}$$

Add 44 and 45 to get 89.

$$\frac{89}{8}$$

Factor

$$\frac{89}{2 ^ {3}} = 11\frac{1}{8} = 11.125$$