Solve 122/3-93/4=

$$12 \frac { 2 } { 3 } - 9 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{35}{12}\approx 2.916666667$$

Solution Steps

Multiply 12 and 3 to get 36.

$$\frac{36+2}{3}-\frac{9\times 4+3}{4}$$

Add 36 and 2 to get 38.

$$\frac{38}{3}-\frac{9\times 4+3}{4}$$

Multiply 9 and 4 to get 36.

$$\frac{38}{3}-\frac{36+3}{4}$$

Add 36 and 3 to get 39.

$$\frac{38}{3}-\frac{39}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{38}{3} and \frac{39}{4} to fractions with denominator 12.

$$\frac{152}{12}-\frac{117}{12}$$

Since \frac{152}{12} and \frac{117}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{152-117}{12}$$

Subtract 117 from 152 to get 35.

$$\frac{35}{12}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3} = 2\frac{11}{12} = 2.9166666666666665$$