Solve 13/4-319/20

$$1 \frac { 3 } { 4 } - 3 \frac { 19 } { 20 }$$

Evaluate

$$-\frac{11}{5}=-2.2$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+3}{4}-\frac{3\times 20+19}{20}$$

Add 4 and 3 to get 7.

$$\frac{7}{4}-\frac{3\times 20+19}{20}$$

Multiply 3 and 20 to get 60.

$$\frac{7}{4}-\frac{60+19}{20}$$

Add 60 and 19 to get 79.

$$\frac{7}{4}-\frac{79}{20}$$

Least common multiple of 4 and 20 is 20. Convert \frac{7}{4} and \frac{79}{20} to fractions with denominator 20.

$$\frac{35}{20}-\frac{79}{20}$$

Since \frac{35}{20} and \frac{79}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-79}{20}$$

Subtract 79 from 35 to get -44.

$$\frac{-44}{20}$$

Reduce the fraction \frac{-44}{20} to lowest terms by extracting and canceling out 4.

$$-\frac{11}{5}$$

Factor

$$-\frac{11}{5} = -2\frac{1}{5} = -2.2$$