Solve 456quad13/12+7/8+11/12=

$$456 \quad \frac { 13 } { 12 } + \frac { 7 } { 8 } + \frac { 11 } { 12 } =$$

Evaluate

$$\frac{3671}{8}=458.875$$

Solution Steps

Multiply 456 and 12 to get 5472.

$$\frac{5472+13}{12}+\frac{7}{8}+\frac{11}{12}$$

Add 5472 and 13 to get 5485.

$$\frac{5485}{12}+\frac{7}{8}+\frac{11}{12}$$

Least common multiple of 12 and 8 is 24. Convert \frac{5485}{12} and \frac{7}{8} to fractions with denominator 24.

$$\frac{10970}{24}+\frac{21}{24}+\frac{11}{12}$$

Since \frac{10970}{24} and \frac{21}{24} have the same denominator, add them by adding their numerators.

$$\frac{10970+21}{24}+\frac{11}{12}$$

Add 10970 and 21 to get 10991.

$$\frac{10991}{24}+\frac{11}{12}$$

Least common multiple of 24 and 12 is 24. Convert \frac{10991}{24} and \frac{11}{12} to fractions with denominator 24.

$$\frac{10991}{24}+\frac{22}{24}$$

Since \frac{10991}{24} and \frac{22}{24} have the same denominator, add them by adding their numerators.

$$\frac{10991+22}{24}$$

Add 10991 and 22 to get 11013.

$$\frac{11013}{24}$$

Reduce the fraction \frac{11013}{24} to lowest terms by extracting and canceling out 3.

$$\frac{3671}{8}$$

Factor

$$\frac{3671}{2 ^ {3}} = 458\frac{7}{8} = 458.875$$