Solve (3)-(3.8-4.2)+(-1.7-1.3)div(-5)

$$(3)-(3.8-4.2)+(-1.7-1.3) \div (-5)$$

Evaluate

$$4$$

Solution Steps

Subtract 4.2 from 3.8 to get -0.4.

$$3-\left(-0.4\right)+\frac{-1.7-1.3}{-5}$$

The opposite of -0.4 is 0.4.

$$3+0.4+\frac{-1.7-1.3}{-5}$$

Add 3 and 0.4 to get 3.4.

$$3.4+\frac{-1.7-1.3}{-5}$$

Subtract 1.3 from -1.7 to get -3.

$$3.4+\frac{-3}{-5}$$

Fraction \frac{-3}{-5} can be simplified to \frac{3}{5} by removing the negative sign from both the numerator and the denominator.

$$3.4+\frac{3}{5}$$

Convert decimal number 3.4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$\frac{17}{5}+\frac{3}{5}$$

Since \frac{17}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{17+3}{5}$$

Add 17 and 3 to get 20.

$$\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$4$$

Factor

$$2^{2}$$