Solve 45/6-1/4

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

Evaluate

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

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{24+5}{6}-\frac{1}{4}$$

Add 24 and 5 to get 29.

$$\frac{29}{6}-\frac{1}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{29}{6} and \frac{1}{4} to fractions with denominator 12.

$$\frac{58}{12}-\frac{3}{12}$$

Since \frac{58}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{58-3}{12}$$

Subtract 3 from 58 to get 55.

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

Factor

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