Solve 12/16+3/9-15/75=

$$\frac { 12 } { 16 } + \frac { 3 } { 9 } - \frac { 15 } { 75 } =$$

Evaluate

$$\frac{53}{60}\approx 0.883333333$$

Solution Steps

Reduce the fraction \frac{12}{16} to lowest terms by extracting and canceling out 4.

$$\frac{3}{4}+\frac{3}{9}-\frac{15}{75}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}+\frac{1}{3}-\frac{15}{75}$$

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{9}{12}+\frac{4}{12}-\frac{15}{75}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{12}-\frac{15}{75}$$

Add 9 and 4 to get 13.

$$\frac{13}{12}-\frac{15}{75}$$

Reduce the fraction \frac{15}{75} to lowest terms by extracting and canceling out 15.

$$\frac{13}{12}-\frac{1}{5}$$

Least common multiple of 12 and 5 is 60. Convert \frac{13}{12} and \frac{1}{5} to fractions with denominator 60.

$$\frac{65}{60}-\frac{12}{60}$$

Since \frac{65}{60} and \frac{12}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-12}{60}$$

Subtract 12 from 65 to get 53.

$$\frac{53}{60}$$

Factor

$$\frac{53}{2 ^ {2} \cdot 3 \cdot 5} = 0.8833333333333333$$