Solve 37/12+75/6

$$3 \frac { 7 } { 12 } + 7 \frac { 5 } { 6 }$$

Evaluate

$$\frac{137}{12}\approx 11.416666667$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+7}{12}+\frac{7\times 6+5}{6}$$

Add 36 and 7 to get 43.

$$\frac{43}{12}+\frac{7\times 6+5}{6}$$

Multiply 7 and 6 to get 42.

$$\frac{43}{12}+\frac{42+5}{6}$$

Add 42 and 5 to get 47.

$$\frac{43}{12}+\frac{47}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{43}{12} and \frac{47}{6} to fractions with denominator 12.

$$\frac{43}{12}+\frac{94}{12}$$

Since \frac{43}{12} and \frac{94}{12} have the same denominator, add them by adding their numerators.

$$\frac{43+94}{12}$$

Add 43 and 94 to get 137.

$$\frac{137}{12}$$

Factor

$$\frac{137}{2 ^ {2} \cdot 3} = 11\frac{5}{12} = 11.416666666666666$$