Solve 53/4-11/6=

$$5 \frac { 3 } { 4 } - 1 \frac { 1 } { 6 } =$$

Evaluate

$$\frac{55}{12}\approx 4.583333333$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+3}{4}-\frac{1\times 6+1}{6}$$

Add 20 and 3 to get 23.

$$\frac{23}{4}-\frac{1\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{23}{4}-\frac{6+1}{6}$$

Add 6 and 1 to get 7.

$$\frac{23}{4}-\frac{7}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{23}{4} and \frac{7}{6} to fractions with denominator 12.

$$\frac{69}{12}-\frac{14}{12}$$

Since \frac{69}{12} and \frac{14}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{69-14}{12}$$

Subtract 14 from 69 to get 55.

$$\frac{55}{12}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2} \cdot 3} = 4\frac{7}{12} = 4.583333333333333$$