Solve -4.4-1/3+6+3-32/3+2.4

$$- 4.4 - \frac { 1 } { 3 } + 6 + 3 - 3 \frac { 2 } { 3 } + 2.4$$

Evaluate

$$3$$

Solution Steps

Convert decimal number -4.4 to fraction -\frac{44}{10}. Reduce the fraction -\frac{44}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{22}{5}-\frac{1}{3}+6+3-\frac{3\times 3+2}{3}+2.4$$

Least common multiple of 5 and 3 is 15. Convert -\frac{22}{5} and \frac{1}{3} to fractions with denominator 15.

$$-\frac{66}{15}-\frac{5}{15}+6+3-\frac{3\times 3+2}{3}+2.4$$

Since -\frac{66}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-66-5}{15}+6+3-\frac{3\times 3+2}{3}+2.4$$

Subtract 5 from -66 to get -71.

$$-\frac{71}{15}+6+3-\frac{3\times 3+2}{3}+2.4$$

Convert 6 to fraction \frac{90}{15}.

$$-\frac{71}{15}+\frac{90}{15}+3-\frac{3\times 3+2}{3}+2.4$$

Since -\frac{71}{15} and \frac{90}{15} have the same denominator, add them by adding their numerators.

$$\frac{-71+90}{15}+3-\frac{3\times 3+2}{3}+2.4$$

Add -71 and 90 to get 19.

$$\frac{19}{15}+3-\frac{3\times 3+2}{3}+2.4$$

Convert 3 to fraction \frac{45}{15}.

$$\frac{19}{15}+\frac{45}{15}-\frac{3\times 3+2}{3}+2.4$$

Since \frac{19}{15} and \frac{45}{15} have the same denominator, add them by adding their numerators.

$$\frac{19+45}{15}-\frac{3\times 3+2}{3}+2.4$$

Add 19 and 45 to get 64.

$$\frac{64}{15}-\frac{3\times 3+2}{3}+2.4$$

Multiply 3 and 3 to get 9.

$$\frac{64}{15}-\frac{9+2}{3}+2.4$$

Add 9 and 2 to get 11.

$$\frac{64}{15}-\frac{11}{3}+2.4$$

Least common multiple of 15 and 3 is 15. Convert \frac{64}{15} and \frac{11}{3} to fractions with denominator 15.

$$\frac{64}{15}-\frac{55}{15}+2.4$$

Since \frac{64}{15} and \frac{55}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{64-55}{15}+2.4$$

Subtract 55 from 64 to get 9.

$$\frac{9}{15}+2.4$$

Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.

$$\frac{3}{5}+2.4$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}+\frac{12}{5}$$

Since \frac{3}{5} and \frac{12}{5} have the same denominator, add them by adding their numerators.

$$\frac{3+12}{5}$$

Add 3 and 12 to get 15.

$$\frac{15}{5}$$

Divide 15 by 5 to get 3.

$$3$$

Factor

$$3$$