Solve 1/6+3-28/25

$$\frac{ 1 }{ 6 } +3- \frac{ 28 }{ 25 }$$

Evaluate

$$\frac{307}{150}\approx 2.046666667$$

Solution Steps

Convert 3 to fraction \frac{18}{6}.

$$\frac{1}{6}+\frac{18}{6}-\frac{28}{25}$$

Since \frac{1}{6} and \frac{18}{6} have the same denominator, add them by adding their numerators.

$$\frac{1+18}{6}-\frac{28}{25}$$

Add 1 and 18 to get 19.

$$\frac{19}{6}-\frac{28}{25}$$

Least common multiple of 6 and 25 is 150. Convert \frac{19}{6} and \frac{28}{25} to fractions with denominator 150.

$$\frac{475}{150}-\frac{168}{150}$$

Since \frac{475}{150} and \frac{168}{150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{475-168}{150}$$

Subtract 168 from 475 to get 307.

$$\frac{307}{150}$$

Factor

$$\frac{307}{2 \cdot 3 \cdot 5 ^ {2}} = 2\frac{7}{150} = 2.046666666666667$$