Solve 31/5+3/4-44/5+1/4

$$3 \frac { 1 } { 5 } + \frac { 3 } { 4 } - 4 \frac { 4 } { 5 } + \frac { 1 } { 4 }$$

Evaluate

$$-\frac{3}{5}=-0.6$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+1}{5}+\frac{3}{4}-\frac{4\times 5+4}{5}+\frac{1}{4}$$

Add 15 and 1 to get 16.

$$\frac{16}{5}+\frac{3}{4}-\frac{4\times 5+4}{5}+\frac{1}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{16}{5} and \frac{3}{4} to fractions with denominator 20.

$$\frac{64}{20}+\frac{15}{20}-\frac{4\times 5+4}{5}+\frac{1}{4}$$

Since \frac{64}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{64+15}{20}-\frac{4\times 5+4}{5}+\frac{1}{4}$$

Add 64 and 15 to get 79.

$$\frac{79}{20}-\frac{4\times 5+4}{5}+\frac{1}{4}$$

Multiply 4 and 5 to get 20.

$$\frac{79}{20}-\frac{20+4}{5}+\frac{1}{4}$$

Add 20 and 4 to get 24.

$$\frac{79}{20}-\frac{24}{5}+\frac{1}{4}$$

Least common multiple of 20 and 5 is 20. Convert \frac{79}{20} and \frac{24}{5} to fractions with denominator 20.

$$\frac{79}{20}-\frac{96}{20}+\frac{1}{4}$$

Since \frac{79}{20} and \frac{96}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{79-96}{20}+\frac{1}{4}$$

Subtract 96 from 79 to get -17.

$$-\frac{17}{20}+\frac{1}{4}$$

Least common multiple of 20 and 4 is 20. Convert -\frac{17}{20} and \frac{1}{4} to fractions with denominator 20.

$$-\frac{17}{20}+\frac{5}{20}$$

Since -\frac{17}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{-17+5}{20}$$

Add -17 and 5 to get -12.

$$\frac{-12}{20}$$

Reduce the fraction \frac{-12}{20} to lowest terms by extracting and canceling out 4.

$$-\frac{3}{5}$$

Factor

$$-\frac{3}{5} = -0.6$$