Solve 71/6+47/8

$$7 \frac { 1 } { 6 } + 4 \frac { 7 } { 8 }$$

Evaluate

$$\frac{289}{24}\approx 12.041666667$$

Solution Steps

Multiply 7 and 6 to get 42.

$$\frac{42+1}{6}+\frac{4\times 8+7}{8}$$

Add 42 and 1 to get 43.

$$\frac{43}{6}+\frac{4\times 8+7}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{43}{6}+\frac{32+7}{8}$$

Add 32 and 7 to get 39.

$$\frac{43}{6}+\frac{39}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{43}{6} and \frac{39}{8} to fractions with denominator 24.

$$\frac{172}{24}+\frac{117}{24}$$

Since \frac{172}{24} and \frac{117}{24} have the same denominator, add them by adding their numerators.

$$\frac{172+117}{24}$$

Add 172 and 117 to get 289.

$$\frac{289}{24}$$

Factor

$$\frac{17 ^ {2}}{2 ^ {3} \cdot 3} = 12\frac{1}{24} = 12.041666666666666$$