Solve 15/12-9/10:4/4

$$1 \frac { 5 } { 12 } - \frac { 9 } { 10 } : \frac { 4 } { 4 }$$

Evaluate

$$\frac{31}{60}\approx 0.516666667$$

Solution Steps

Divide 4 by 4 to get 1.

$$\frac{1\times 12+5}{12}-\frac{\frac{9}{10}}{1}$$

Multiply 1 and 12 to get 12.

$$\frac{12+5}{12}-\frac{\frac{9}{10}}{1}$$

Add 12 and 5 to get 17.

$$\frac{17}{12}-\frac{\frac{9}{10}}{1}$$

Anything divided by one gives itself.

$$\frac{17}{12}-\frac{9}{10}$$

Least common multiple of 12 and 10 is 60. Convert \frac{17}{12} and \frac{9}{10} to fractions with denominator 60.

$$\frac{85}{60}-\frac{54}{60}$$

Since \frac{85}{60} and \frac{54}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-54}{60}$$

Subtract 54 from 85 to get 31.

$$\frac{31}{60}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3 \cdot 5} = 0.5166666666666667$$