Solve -(-7,79-62/9)-(0,21-27/9)

$$- ( - 7,79 - 6 \frac { 2 } { 9 } ) - ( 0,21 - 2 \frac { 7 } { 9 } )$$

Evaluate

$$16,58$$

Solution Steps

Multiply 6 and 9 to get 54.

$$-\left(-7,79-\frac{54+2}{9}\right)-\left(0,21-\frac{2\times 9+7}{9}\right)$$

Add 54 and 2 to get 56.

$$-\left(-7,79-\frac{56}{9}\right)-\left(0,21-\frac{2\times 9+7}{9}\right)$$

Convert decimal number -7,79 to fraction -\frac{779}{100}.

$$-\left(-\frac{779}{100}-\frac{56}{9}\right)-\left(0,21-\frac{2\times 9+7}{9}\right)$$

Least common multiple of 100 and 9 is 900. Convert -\frac{779}{100} and \frac{56}{9} to fractions with denominator 900.

$$-\left(-\frac{7011}{900}-\frac{5600}{900}\right)-\left(0,21-\frac{2\times 9+7}{9}\right)$$

Since -\frac{7011}{900} and \frac{5600}{900} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{-7011-5600}{900}-\left(0,21-\frac{2\times 9+7}{9}\right)$$

Subtract 5600 from -7011 to get -12611.

$$-\left(-\frac{12611}{900}\right)-\left(0,21-\frac{2\times 9+7}{9}\right)$$

The opposite of -\frac{12611}{900} is \frac{12611}{900}.

$$\frac{12611}{900}-\left(0,21-\frac{2\times 9+7}{9}\right)$$

Multiply 2 and 9 to get 18.

$$\frac{12611}{900}-\left(0,21-\frac{18+7}{9}\right)$$

Add 18 and 7 to get 25.

$$\frac{12611}{900}-\left(0,21-\frac{25}{9}\right)$$

Convert decimal number 0,21 to fraction \frac{21}{100}.

$$\frac{12611}{900}-\left(\frac{21}{100}-\frac{25}{9}\right)$$

Least common multiple of 100 and 9 is 900. Convert \frac{21}{100} and \frac{25}{9} to fractions with denominator 900.

$$\frac{12611}{900}-\left(\frac{189}{900}-\frac{2500}{900}\right)$$

Since \frac{189}{900} and \frac{2500}{900} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12611}{900}-\frac{189-2500}{900}$$

Subtract 2500 from 189 to get -2311.

$$\frac{12611}{900}-\left(-\frac{2311}{900}\right)$$

The opposite of -\frac{2311}{900} is \frac{2311}{900}.

$$\frac{12611}{900}+\frac{2311}{900}$$

Since \frac{12611}{900} and \frac{2311}{900} have the same denominator, add them by adding their numerators.

$$\frac{12611+2311}{900}$$

Add 12611 and 2311 to get 14922.

$$\frac{14922}{900}$$

Reduce the fraction \frac{14922}{900} to lowest terms by extracting and canceling out 18.

$$\frac{829}{50}$$

Factor

$$\frac{829}{2 \cdot 5 ^ {2}} = 16\frac{29}{50} = 16.58$$