Solve 1.6-4.2-0.05-13/5=

$$1.6 - 4.2 - 0.05 - 1 \frac { 3 } { 5 } =$$

Evaluate

$$-4.25$$

Solution Steps

Subtract 4.2 from 1.6 to get -2.6.

$$-2.6-0.05-\frac{1\times 5+3}{5}$$

Subtract 0.05 from -2.6 to get -2.65.

$$-2.65-\frac{1\times 5+3}{5}$$

Multiply 1 and 5 to get 5.

$$-2.65-\frac{5+3}{5}$$

Add 5 and 3 to get 8.

$$-2.65-\frac{8}{5}$$

Convert decimal number -2.65 to fraction -\frac{265}{100}. Reduce the fraction -\frac{265}{100} to lowest terms by extracting and canceling out 5.

$$-\frac{53}{20}-\frac{8}{5}$$

Least common multiple of 20 and 5 is 20. Convert -\frac{53}{20} and \frac{8}{5} to fractions with denominator 20.

$$-\frac{53}{20}-\frac{32}{20}$$

Since -\frac{53}{20} and \frac{32}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-53-32}{20}$$

Subtract 32 from -53 to get -85.

$$\frac{-85}{20}$$

Reduce the fraction \frac{-85}{20} to lowest terms by extracting and canceling out 5.

$$-\frac{17}{4}$$

Factor

$$-4.25$$