Solve -5/15-(6/24+12/18-15/25)]+[-2-6/914/5]-3

$$- 5 / 15 - ( 6 / 24 + 12 / 18 - 15 / 25 ) ] + [ - 2 - 6 / 914 / 5 ] - 3$$

Evaluate

$$-\frac{13}{20}=-0.65$$

Solution Steps

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{3}-\left(\frac{6}{24}+\frac{12}{18}-\frac{15}{25}\right)$$

Reduce the fraction \frac{6}{24} to lowest terms by extracting and canceling out 6.

$$-\frac{1}{3}-\left(\frac{1}{4}+\frac{12}{18}-\frac{15}{25}\right)$$

Reduce the fraction \frac{12}{18} to lowest terms by extracting and canceling out 6.

$$-\frac{1}{3}-\left(\frac{1}{4}+\frac{2}{3}-\frac{15}{25}\right)$$

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{2}{3} to fractions with denominator 12.

$$-\frac{1}{3}-\left(\frac{3}{12}+\frac{8}{12}-\frac{15}{25}\right)$$

Since \frac{3}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$-\frac{1}{3}-\left(\frac{3+8}{12}-\frac{15}{25}\right)$$

Add 3 and 8 to get 11.

$$-\frac{1}{3}-\left(\frac{11}{12}-\frac{15}{25}\right)$$

Reduce the fraction \frac{15}{25} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{3}-\left(\frac{11}{12}-\frac{3}{5}\right)$$

Least common multiple of 12 and 5 is 60. Convert \frac{11}{12} and \frac{3}{5} to fractions with denominator 60.

$$-\frac{1}{3}-\left(\frac{55}{60}-\frac{36}{60}\right)$$

Since \frac{55}{60} and \frac{36}{60} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{3}-\frac{55-36}{60}$$

Subtract 36 from 55 to get 19.

$$-\frac{1}{3}-\frac{19}{60}$$

Least common multiple of 3 and 60 is 60. Convert -\frac{1}{3} and \frac{19}{60} to fractions with denominator 60.

$$-\frac{20}{60}-\frac{19}{60}$$

Since -\frac{20}{60} and \frac{19}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-20-19}{60}$$

Subtract 19 from -20 to get -39.

$$\frac{-39}{60}$$

Reduce the fraction \frac{-39}{60} to lowest terms by extracting and canceling out 3.

$$-\frac{13}{20}$$

Factor

$$-\frac{13}{20} = -0.65$$