Solve 5.6*140%*85%*95%-5.6

$$5.6 \times 140 \% \times 85 \% \times 95 \% -5.6$$

Evaluate

$$0.7308$$

Solution Steps

Reduce the fraction \frac{140}{100} to lowest terms by extracting and canceling out 20.

$$5.6\times \frac{7}{5}\times \frac{85}{100}\times \frac{95}{100}-5.6$$

Convert decimal number 5.6 to fraction \frac{56}{10}. Reduce the fraction \frac{56}{10} to lowest terms by extracting and canceling out 2.

$$\frac{28}{5}\times \frac{7}{5}\times \frac{85}{100}\times \frac{95}{100}-5.6$$

Multiply \frac{28}{5} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{28\times 7}{5\times 5}\times \frac{85}{100}\times \frac{95}{100}-5.6$$

Do the multiplications in the fraction \frac{28\times 7}{5\times 5}.

$$\frac{196}{25}\times \frac{85}{100}\times \frac{95}{100}-5.6$$

Reduce the fraction \frac{85}{100} to lowest terms by extracting and canceling out 5.

$$\frac{196}{25}\times \frac{17}{20}\times \frac{95}{100}-5.6$$

Multiply \frac{196}{25} times \frac{17}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{196\times 17}{25\times 20}\times \frac{95}{100}-5.6$$

Do the multiplications in the fraction \frac{196\times 17}{25\times 20}.

$$\frac{3332}{500}\times \frac{95}{100}-5.6$$

Reduce the fraction \frac{3332}{500} to lowest terms by extracting and canceling out 4.

$$\frac{833}{125}\times \frac{95}{100}-5.6$$

Reduce the fraction \frac{95}{100} to lowest terms by extracting and canceling out 5.

$$\frac{833}{125}\times \frac{19}{20}-5.6$$

Multiply \frac{833}{125} times \frac{19}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{833\times 19}{125\times 20}-5.6$$

Do the multiplications in the fraction \frac{833\times 19}{125\times 20}.

$$\frac{15827}{2500}-5.6$$

Convert decimal number 5.6 to fraction \frac{56}{10}. Reduce the fraction \frac{56}{10} to lowest terms by extracting and canceling out 2.

$$\frac{15827}{2500}-\frac{28}{5}$$

Least common multiple of 2500 and 5 is 2500. Convert \frac{15827}{2500} and \frac{28}{5} to fractions with denominator 2500.

$$\frac{15827}{2500}-\frac{14000}{2500}$$

Since \frac{15827}{2500} and \frac{14000}{2500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15827-14000}{2500}$$

Subtract 14000 from 15827 to get 1827.

$$\frac{1827}{2500}$$

Factor

$$\frac{7 \cdot 29 \cdot 3 ^ {2}}{2 ^ {2} \cdot 5 ^ {4}} = 0.7308$$