Solve 4/3+5/6/frac{8{mu}*7}

$$\frac { \frac { 4 } { 3 } + \frac { 5 } { 6 } } { \frac { 8 } { \mu } \times 7 }$$

Evaluate

$$\frac{13\mu }{336}$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{4}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{\frac{8}{6}+\frac{5}{6}}{\frac{8}{\mu }\times 7}$$

Since \frac{8}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{\frac{8+5}{6}}{\frac{8}{\mu }\times 7}$$

Add 8 and 5 to get 13.

$$\frac{\frac{13}{6}}{\frac{8}{\mu }\times 7}$$

Express \frac{8}{\mu }\times 7 as a single fraction.

$$\frac{\frac{13}{6}}{\frac{8\times 7}{\mu }}$$

Divide \frac{13}{6} by \frac{8\times 7}{\mu } by multiplying \frac{13}{6} by the reciprocal of \frac{8\times 7}{\mu }.

$$\frac{13\mu }{6\times 8\times 7}$$

Multiply 6 and 8 to get 48.

$$\frac{13\mu }{48\times 7}$$

Multiply 48 and 7 to get 336.

$$\frac{13\mu }{336}$$

Expand

$$\frac{13\mu }{336}$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{4}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{\frac{8}{6}+\frac{5}{6}}{\frac{8}{\mu }\times 7}$$

Since \frac{8}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{\frac{8+5}{6}}{\frac{8}{\mu }\times 7}$$

Add 8 and 5 to get 13.

$$\frac{\frac{13}{6}}{\frac{8}{\mu }\times 7}$$

Express \frac{8}{\mu }\times 7 as a single fraction.

$$\frac{\frac{13}{6}}{\frac{8\times 7}{\mu }}$$

Divide \frac{13}{6} by \frac{8\times 7}{\mu } by multiplying \frac{13}{6} by the reciprocal of \frac{8\times 7}{\mu }.

$$\frac{13\mu }{6\times 8\times 7}$$

Multiply 6 and 8 to get 48.

$$\frac{13\mu }{48\times 7}$$

Multiply 48 and 7 to get 336.

$$\frac{13\mu }{336}$$