Solve 2-11/12-2/15=

$$2 - 1 \frac { 1 } { 12 } - \frac { 2 } { 15 } =$$

Evaluate

$$\frac{47}{60}\approx 0.783333333$$

Solution Steps

Multiply 1 and 12 to get 12.

$$2-\frac{12+1}{12}-\frac{2}{15}$$

Add 12 and 1 to get 13.

$$2-\frac{13}{12}-\frac{2}{15}$$

Convert 2 to fraction \frac{24}{12}.

$$\frac{24}{12}-\frac{13}{12}-\frac{2}{15}$$

Since \frac{24}{12} and \frac{13}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-13}{12}-\frac{2}{15}$$

Subtract 13 from 24 to get 11.

$$\frac{11}{12}-\frac{2}{15}$$

Least common multiple of 12 and 15 is 60. Convert \frac{11}{12} and \frac{2}{15} to fractions with denominator 60.

$$\frac{55}{60}-\frac{8}{60}$$

Since \frac{55}{60} and \frac{8}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-8}{60}$$

Subtract 8 from 55 to get 47.

$$\frac{47}{60}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 3 \cdot 5} = 0.7833333333333333$$