Solve 32/15-15/12=

$$3 \frac { 2 } { 15 } - 1 \frac { 5 } { 12 } =$$

Evaluate

$$\frac{103}{60}\approx 1.716666667$$

Solution Steps

Multiply 3 and 15 to get 45.

$$\frac{45+2}{15}-\frac{1\times 12+5}{12}$$

Add 45 and 2 to get 47.

$$\frac{47}{15}-\frac{1\times 12+5}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{47}{15}-\frac{12+5}{12}$$

Add 12 and 5 to get 17.

$$\frac{47}{15}-\frac{17}{12}$$

Least common multiple of 15 and 12 is 60. Convert \frac{47}{15} and \frac{17}{12} to fractions with denominator 60.

$$\frac{188}{60}-\frac{85}{60}$$

Since \frac{188}{60} and \frac{85}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{188-85}{60}$$

Subtract 85 from 188 to get 103.

$$\frac{103}{60}$$

Factor

$$\frac{103}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{43}{60} = 1.7166666666666666$$