Solve 3/4+1/25+14/50

$$\frac { 3 } { 4 } + \frac { 1 } { 25 } + \frac { 14 } { 50 }$$

Evaluate

$$\frac{107}{100}=1.07$$

Solution Steps

Least common multiple of 4 and 25 is 100. Convert \frac{3}{4} and \frac{1}{25} to fractions with denominator 100.

$$\frac{75}{100}+\frac{4}{100}+\frac{14}{50}$$

Since \frac{75}{100} and \frac{4}{100} have the same denominator, add them by adding their numerators.

$$\frac{75+4}{100}+\frac{14}{50}$$

Add 75 and 4 to get 79.

$$\frac{79}{100}+\frac{14}{50}$$

Reduce the fraction \frac{14}{50} to lowest terms by extracting and canceling out 2.

$$\frac{79}{100}+\frac{7}{25}$$

Least common multiple of 100 and 25 is 100. Convert \frac{79}{100} and \frac{7}{25} to fractions with denominator 100.

$$\frac{79}{100}+\frac{28}{100}$$

Since \frac{79}{100} and \frac{28}{100} have the same denominator, add them by adding their numerators.

$$\frac{79+28}{100}$$

Add 79 and 28 to get 107.

$$\frac{107}{100}$$

Factor

$$\frac{107}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{7}{100} = 1.07$$