Solve 1/4+1/2/0,222

$$\frac { \frac { 1 } { 4 } + \frac { 1 } { 2 } } { 0,222 }$$

Evaluate

$$\frac{125}{37}\approx 3,378378378$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{\frac{1}{4}+\frac{2}{4}}{0,222}$$

Since \frac{1}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1+2}{4}}{0,222}$$

Add 1 and 2 to get 3.

$$\frac{\frac{3}{4}}{0,222}$$

Express \frac{\frac{3}{4}}{0,222} as a single fraction.

$$\frac{3}{4\times 0,222}$$

Multiply 4 and 0,222 to get 0,888.

$$\frac{3}{0,888}$$

Expand \frac{3}{0,888} by multiplying both numerator and the denominator by 1000.

$$\frac{3000}{888}$$

Reduce the fraction \frac{3000}{888} to lowest terms by extracting and canceling out 24.

$$\frac{125}{37}$$

Factor

$$\frac{5 ^ {3}}{37} = 3\frac{14}{37} = 3.3783783783783785$$