Solve 52/3-411/12

$$5 \frac { 2 } { 3 } - 4 \frac { 11 } { 12 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+2}{3}-\frac{4\times 12+11}{12}$$

Add 15 and 2 to get 17.

$$\frac{17}{3}-\frac{4\times 12+11}{12}$$

Multiply 4 and 12 to get 48.

$$\frac{17}{3}-\frac{48+11}{12}$$

Add 48 and 11 to get 59.

$$\frac{17}{3}-\frac{59}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{17}{3} and \frac{59}{12} to fractions with denominator 12.

$$\frac{68}{12}-\frac{59}{12}$$

Since \frac{68}{12} and \frac{59}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{68-59}{12}$$

Subtract 59 from 68 to get 9.

$$\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$