Solve -(0.8div(4/5*1.25))/-0.64+frac{1{25}}

$$\frac{ -(0.8 \div ( \frac{ 4 }{ 5 } \times 1.25)) }{ -0.64+ \frac{ 1 }{ 25 } }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{-\frac{0.8}{\frac{4}{5}\times \frac{5}{4}}}{-0.64+\frac{1}{25}}$$

Cancel out \frac{4}{5} and its reciprocal \frac{5}{4}.

$$\frac{-\frac{0.8}{1}}{-0.64+\frac{1}{25}}$$

Anything divided by one gives itself.

$$\frac{-0.8}{-0.64+\frac{1}{25}}$$

Convert decimal number -0.64 to fraction -\frac{64}{100}. Reduce the fraction -\frac{64}{100} to lowest terms by extracting and canceling out 4.

$$\frac{-0.8}{-\frac{16}{25}+\frac{1}{25}}$$

Since -\frac{16}{25} and \frac{1}{25} have the same denominator, add them by adding their numerators.

$$\frac{-0.8}{\frac{-16+1}{25}}$$

Add -16 and 1 to get -15.

$$\frac{-0.8}{\frac{-15}{25}}$$

Reduce the fraction \frac{-15}{25} to lowest terms by extracting and canceling out 5.

$$\frac{-0.8}{-\frac{3}{5}}$$

Divide -0.8 by -\frac{3}{5} by multiplying -0.8 by the reciprocal of -\frac{3}{5}.

$$-0.8\left(-\frac{5}{3}\right)$$

Convert decimal number -0.8 to fraction -\frac{8}{10}. Reduce the fraction -\frac{8}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{4}{5}\left(-\frac{5}{3}\right)$$

Multiply -\frac{4}{5} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\left(-5\right)}{5\times 3}$$

Do the multiplications in the fraction \frac{-4\left(-5\right)}{5\times 3}.

$$\frac{20}{15}$$

Reduce the fraction \frac{20}{15} to lowest terms by extracting and canceling out 5.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$