Solve 93/12-47/12

$$9 \frac { 3 } { 12 } - 4 \frac { 7 } { 12 }$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

Multiply 9 and 12 to get 108.

$$\frac{108+3}{12}-\frac{4\times 12+7}{12}$$

Add 108 and 3 to get 111.

$$\frac{111}{12}-\frac{4\times 12+7}{12}$$

Reduce the fraction \frac{111}{12} to lowest terms by extracting and canceling out 3.

$$\frac{37}{4}-\frac{4\times 12+7}{12}$$

Multiply 4 and 12 to get 48.

$$\frac{37}{4}-\frac{48+7}{12}$$

Add 48 and 7 to get 55.

$$\frac{37}{4}-\frac{55}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{37}{4} and \frac{55}{12} to fractions with denominator 12.

$$\frac{111}{12}-\frac{55}{12}$$

Since \frac{111}{12} and \frac{55}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{111-55}{12}$$

Subtract 55 from 111 to get 56.

$$\frac{56}{12}$$

Reduce the fraction \frac{56}{12} to lowest terms by extracting and canceling out 4.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$