Solve 25/6+43/8+1/6+5/8

$$2 \frac { 5 } { 6 } + 4 \frac { 3 } { 8 } + \frac{ 1 }{ 6 } + \frac{ 5 }{ 8 }$$

Evaluate

$$8$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+5}{6}+\frac{4\times 8+3}{8}+\frac{1}{6}+\frac{5}{8}$$

Add 12 and 5 to get 17.

$$\frac{17}{6}+\frac{4\times 8+3}{8}+\frac{1}{6}+\frac{5}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{17}{6}+\frac{32+3}{8}+\frac{1}{6}+\frac{5}{8}$$

Add 32 and 3 to get 35.

$$\frac{17}{6}+\frac{35}{8}+\frac{1}{6}+\frac{5}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{17}{6} and \frac{35}{8} to fractions with denominator 24.

$$\frac{68}{24}+\frac{105}{24}+\frac{1}{6}+\frac{5}{8}$$

Since \frac{68}{24} and \frac{105}{24} have the same denominator, add them by adding their numerators.

$$\frac{68+105}{24}+\frac{1}{6}+\frac{5}{8}$$

Add 68 and 105 to get 173.

$$\frac{173}{24}+\frac{1}{6}+\frac{5}{8}$$

Least common multiple of 24 and 6 is 24. Convert \frac{173}{24} and \frac{1}{6} to fractions with denominator 24.

$$\frac{173}{24}+\frac{4}{24}+\frac{5}{8}$$

Since \frac{173}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{173+4}{24}+\frac{5}{8}$$

Add 173 and 4 to get 177.

$$\frac{177}{24}+\frac{5}{8}$$

Reduce the fraction \frac{177}{24} to lowest terms by extracting and canceling out 3.

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

Since \frac{59}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

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

Add 59 and 5 to get 64.

$$\frac{64}{8}$$

Divide 64 by 8 to get 8.

$$8$$

Factor

$$2^{3}$$