Solve 4/3+5/6/frac{8{11}*7}

$$\frac { \frac { 4 } { 3 } + \frac { 5 } { 6 } } { \frac { 8 } { 11 } \times 7 }$$

Evaluate

$$\frac{143}{336}\approx 0.425595238$$

Solution Steps

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

$$\frac{\frac{8}{6}+\frac{5}{6}}{\frac{8}{11}\times 7}$$

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

$$\frac{\frac{8+5}{6}}{\frac{8}{11}\times 7}$$

Add 8 and 5 to get 13.

$$\frac{\frac{13}{6}}{\frac{8}{11}\times 7}$$

Express \frac{8}{11}\times 7 as a single fraction.

$$\frac{\frac{13}{6}}{\frac{8\times 7}{11}}$$

Multiply 8 and 7 to get 56.

$$\frac{\frac{13}{6}}{\frac{56}{11}}$$

Divide \frac{13}{6} by \frac{56}{11} by multiplying \frac{13}{6} by the reciprocal of \frac{56}{11}.

$$\frac{13}{6}\times \frac{11}{56}$$

Multiply \frac{13}{6} times \frac{11}{56} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 11}{6\times 56}$$

Do the multiplications in the fraction \frac{13\times 11}{6\times 56}.

$$\frac{143}{336}$$

Factor

$$\frac{11 \cdot 13}{2 ^ {4} \cdot 3 \cdot 7} = 0.4255952380952381$$