Solve 9,87-(57/12+1,87)

$$9,87 - ( 5 \frac { 7 } { 12 } + 1,87 )$$

Evaluate

$$\frac{29}{12}\approx 2,416666667$$

Solution Steps

Multiply 5 and 12 to get 60.

$$9,87-\left(\frac{60+7}{12}+1,87\right)$$

Add 60 and 7 to get 67.

$$9,87-\left(\frac{67}{12}+1,87\right)$$

Convert decimal number 1,87 to fraction \frac{187}{100}.

$$9,87-\left(\frac{67}{12}+\frac{187}{100}\right)$$

Least common multiple of 12 and 100 is 300. Convert \frac{67}{12} and \frac{187}{100} to fractions with denominator 300.

$$9,87-\left(\frac{1675}{300}+\frac{561}{300}\right)$$

Since \frac{1675}{300} and \frac{561}{300} have the same denominator, add them by adding their numerators.

$$9,87-\frac{1675+561}{300}$$

Add 1675 and 561 to get 2236.

$$9,87-\frac{2236}{300}$$

Reduce the fraction \frac{2236}{300} to lowest terms by extracting and canceling out 4.

$$9,87-\frac{559}{75}$$

Convert decimal number 9,87 to fraction \frac{987}{100}.

$$\frac{987}{100}-\frac{559}{75}$$

Least common multiple of 100 and 75 is 300. Convert \frac{987}{100} and \frac{559}{75} to fractions with denominator 300.

$$\frac{2961}{300}-\frac{2236}{300}$$

Since \frac{2961}{300} and \frac{2236}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2961-2236}{300}$$

Subtract 2236 from 2961 to get 725.

$$\frac{725}{300}$$

Reduce the fraction \frac{725}{300} to lowest terms by extracting and canceling out 25.

$$\frac{29}{12}$$

Factor

$$\frac{29}{3 \cdot 2 ^ {2}} = 2\frac{5}{12} = 2.4166666666666665$$