Solve 35/12-14/15=

$$3 \frac { 5 } { 12 } - 1 \frac { 4 } { 15 } =$$

Evaluate

$$\frac{43}{20}=2.15$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+5}{12}-\frac{1\times 15+4}{15}$$

Add 36 and 5 to get 41.

$$\frac{41}{12}-\frac{1\times 15+4}{15}$$

Multiply 1 and 15 to get 15.

$$\frac{41}{12}-\frac{15+4}{15}$$

Add 15 and 4 to get 19.

$$\frac{41}{12}-\frac{19}{15}$$

Least common multiple of 12 and 15 is 60. Convert \frac{41}{12} and \frac{19}{15} to fractions with denominator 60.

$$\frac{205}{60}-\frac{76}{60}$$

Since \frac{205}{60} and \frac{76}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{205-76}{60}$$

Subtract 76 from 205 to get 129.

$$\frac{129}{60}$$

Reduce the fraction \frac{129}{60} to lowest terms by extracting and canceling out 3.

$$\frac{43}{20}$$

Factor

$$\frac{43}{2 ^ {2} \cdot 5} = 2\frac{3}{20} = 2.15$$