Solve 3,5-(-21/3+2,5)

$$3,5 - ( - 2 \frac { 1 } { 3 } + 2,5 )$$

Evaluate

$$\frac{10}{3}\approx 3,333333333$$

Solution Steps

Multiply 2 and 3 to get 6.

$$3,5-\left(-\frac{6+1}{3}+2,5\right)$$

Add 6 and 1 to get 7.

$$3,5-\left(-\frac{7}{3}+2,5\right)$$

Convert decimal number 2,5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$3,5-\left(-\frac{7}{3}+\frac{5}{2}\right)$$

Least common multiple of 3 and 2 is 6. Convert -\frac{7}{3} and \frac{5}{2} to fractions with denominator 6.

$$3,5-\left(-\frac{14}{6}+\frac{15}{6}\right)$$

Since -\frac{14}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.

$$3,5-\frac{-14+15}{6}$$

Add -14 and 15 to get 1.

$$3,5-\frac{1}{6}$$

Convert decimal number 3,5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{2}-\frac{1}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{7}{2} and \frac{1}{6} to fractions with denominator 6.

$$\frac{21}{6}-\frac{1}{6}$$

Since \frac{21}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-1}{6}$$

Subtract 1 from 21 to get 20.

$$\frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$