Solve (-1/9)+(-51/3)+5/4-0,27

$$( - \frac { 1 } { 9 } ) + ( - 5 \frac { 1 } { 3 } ) + \frac { 5 } { 4 } - 0,27$$

Evaluate

$$-\frac{2009}{450}\approx -4,464444444$$

Solution Steps

Multiply 5 and 3 to get 15.

$$-\frac{1}{9}-\frac{15+1}{3}+\frac{5}{4}-0,27$$

Add 15 and 1 to get 16.

$$-\frac{1}{9}-\frac{16}{3}+\frac{5}{4}-0,27$$

Least common multiple of 9 and 3 is 9. Convert -\frac{1}{9} and \frac{16}{3} to fractions with denominator 9.

$$-\frac{1}{9}-\frac{48}{9}+\frac{5}{4}-0,27$$

Since -\frac{1}{9} and \frac{48}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-48}{9}+\frac{5}{4}-0,27$$

Subtract 48 from -1 to get -49.

$$-\frac{49}{9}+\frac{5}{4}-0,27$$

Least common multiple of 9 and 4 is 36. Convert -\frac{49}{9} and \frac{5}{4} to fractions with denominator 36.

$$-\frac{196}{36}+\frac{45}{36}-0,27$$

Since -\frac{196}{36} and \frac{45}{36} have the same denominator, add them by adding their numerators.

$$\frac{-196+45}{36}-0,27$$

Add -196 and 45 to get -151.

$$-\frac{151}{36}-0,27$$

Convert decimal number 0,27 to fraction \frac{27}{100}.

$$-\frac{151}{36}-\frac{27}{100}$$

Least common multiple of 36 and 100 is 900. Convert -\frac{151}{36} and \frac{27}{100} to fractions with denominator 900.

$$-\frac{3775}{900}-\frac{243}{900}$$

Since -\frac{3775}{900} and \frac{243}{900} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3775-243}{900}$$

Subtract 243 from -3775 to get -4018.

$$\frac{-4018}{900}$$

Reduce the fraction \frac{-4018}{900} to lowest terms by extracting and canceling out 2.

$$-\frac{2009}{450}$$

Factor

$$-\frac{2009}{450} = -4\frac{209}{450} = -4.464444444444444$$