Solve 5.49-5/12

$$5.49 - \frac { 5 } { 12 }$$

Evaluate

$$\frac{761}{150}\approx 5.073333333$$

Solution Steps

Convert decimal number 5.49 to fraction \frac{549}{100}.

$$\frac{549}{100}-\frac{5}{12}$$

Least common multiple of 100 and 12 is 300. Convert \frac{549}{100} and \frac{5}{12} to fractions with denominator 300.

$$\frac{1647}{300}-\frac{125}{300}$$

Since \frac{1647}{300} and \frac{125}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1647-125}{300}$$

Subtract 125 from 1647 to get 1522.

$$\frac{1522}{300}$$

Reduce the fraction \frac{1522}{300} to lowest terms by extracting and canceling out 2.

$$\frac{761}{150}$$

Factor

$$\frac{761}{2 \cdot 3 \cdot 5 ^ {2}} = 5\frac{11}{150} = 5.073333333333333$$