Solve 121/3-37/12

$$\frac{ 121 }{ 3 } -3 \frac{ 7 }{ 12 }$$

Evaluate

$$\frac{147}{4}=36.75$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{121}{3}-\frac{36+7}{12}$$

Add 36 and 7 to get 43.

$$\frac{121}{3}-\frac{43}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{121}{3} and \frac{43}{12} to fractions with denominator 12.

$$\frac{484}{12}-\frac{43}{12}$$

Since \frac{484}{12} and \frac{43}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{484-43}{12}$$

Subtract 43 from 484 to get 441.

$$\frac{441}{12}$$

Reduce the fraction \frac{441}{12} to lowest terms by extracting and canceling out 3.

$$\frac{147}{4}$$

Factor

$$\frac{3 \cdot 7 ^ {2}}{2 ^ {2}} = 36\frac{3}{4} = 36.75$$