Solve 2.46div(-4.1)-15div0.25-40div(-25)+(-14.4)div(-0.32)

$$2.46 \div (-4.1)-15 \div 0.25-40 \div (-25)+(-14.4) \div (-0.32)$$

Evaluate

$$-14$$

Solution Steps

Expand \frac{2.46}{-4.1} by multiplying both numerator and the denominator by 100.

$$\frac{246}{-410}-\frac{15}{0.25}-\frac{40}{-25}+\frac{-14.4}{-0.32}$$

Reduce the fraction \frac{246}{-410} to lowest terms by extracting and canceling out 82.

$$-\frac{3}{5}-\frac{15}{0.25}-\frac{40}{-25}+\frac{-14.4}{-0.32}$$

Expand \frac{15}{0.25} by multiplying both numerator and the denominator by 100.

$$-\frac{3}{5}-\frac{1500}{25}-\frac{40}{-25}+\frac{-14.4}{-0.32}$$

Divide 1500 by 25 to get 60.

$$-\frac{3}{5}-60-\frac{40}{-25}+\frac{-14.4}{-0.32}$$

Convert 60 to fraction \frac{300}{5}.

$$-\frac{3}{5}-\frac{300}{5}-\frac{40}{-25}+\frac{-14.4}{-0.32}$$

Since -\frac{3}{5} and \frac{300}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-300}{5}-\frac{40}{-25}+\frac{-14.4}{-0.32}$$

Subtract 300 from -3 to get -303.

$$-\frac{303}{5}-\frac{40}{-25}+\frac{-14.4}{-0.32}$$

Reduce the fraction \frac{40}{-25} to lowest terms by extracting and canceling out 5.

$$-\frac{303}{5}-\left(-\frac{8}{5}\right)+\frac{-14.4}{-0.32}$$

The opposite of -\frac{8}{5} is \frac{8}{5}.

$$-\frac{303}{5}+\frac{8}{5}+\frac{-14.4}{-0.32}$$

Since -\frac{303}{5} and \frac{8}{5} have the same denominator, add them by adding their numerators.

$$\frac{-303+8}{5}+\frac{-14.4}{-0.32}$$

Add -303 and 8 to get -295.

$$\frac{-295}{5}+\frac{-14.4}{-0.32}$$

Divide -295 by 5 to get -59.

$$-59+\frac{-14.4}{-0.32}$$

Expand \frac{-14.4}{-0.32} by multiplying both numerator and the denominator by 100.

$$-59+\frac{-1440}{-32}$$

Divide -1440 by -32 to get 45.

$$-59+45$$

Add -59 and 45 to get -14.

$$-14$$

Factor

$$-14$$