Solve 125/100-(075-6/10*25/90)div42/90

$$\frac{ 125 }{ 100 } -(075- \frac{ 6 }{ 10 } \times \frac{ 25 }{ 90 } ) \div \frac{ 42 }{ 90 }$$

Evaluate

$$\frac{45}{28}\approx 1.607142857$$

Solution Steps

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

$$\frac{5}{4}-\frac{0\times 75-\frac{6}{10}\times \frac{25}{90}}{\frac{42}{90}}$$

Multiply 0 and 75 to get 0.

$$\frac{5}{4}-\frac{0-\frac{6}{10}\times \frac{25}{90}}{\frac{42}{90}}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{5}{4}-\frac{0-\frac{3}{5}\times \frac{25}{90}}{\frac{42}{90}}$$

Reduce the fraction \frac{25}{90} to lowest terms by extracting and canceling out 5.

$$\frac{5}{4}-\frac{0-\frac{3}{5}\times \frac{5}{18}}{\frac{42}{90}}$$

Multiply \frac{3}{5} times \frac{5}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{4}-\frac{0-\frac{3\times 5}{5\times 18}}{\frac{42}{90}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{5}{4}-\frac{0-\frac{3}{18}}{\frac{42}{90}}$$

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}-\frac{0-\frac{1}{6}}{\frac{42}{90}}$$

Subtract \frac{1}{6} from 0 to get -\frac{1}{6}.

$$\frac{5}{4}-\frac{-\frac{1}{6}}{\frac{42}{90}}$$

Reduce the fraction \frac{42}{90} to lowest terms by extracting and canceling out 6.

$$\frac{5}{4}-\frac{-\frac{1}{6}}{\frac{7}{15}}$$

Divide -\frac{1}{6} by \frac{7}{15} by multiplying -\frac{1}{6} by the reciprocal of \frac{7}{15}.

$$\frac{5}{4}-\left(-\frac{1}{6}\times \frac{15}{7}\right)$$

Multiply -\frac{1}{6} times \frac{15}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{4}-\frac{-15}{6\times 7}$$

Do the multiplications in the fraction \frac{-15}{6\times 7}.

$$\frac{5}{4}-\frac{-15}{42}$$

Reduce the fraction \frac{-15}{42} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}-\left(-\frac{5}{14}\right)$$

The opposite of -\frac{5}{14} is \frac{5}{14}.

$$\frac{5}{4}+\frac{5}{14}$$

Least common multiple of 4 and 14 is 28. Convert \frac{5}{4} and \frac{5}{14} to fractions with denominator 28.

$$\frac{35}{28}+\frac{10}{28}$$

Since \frac{35}{28} and \frac{10}{28} have the same denominator, add them by adding their numerators.

$$\frac{35+10}{28}$$

Add 35 and 10 to get 45.

$$\frac{45}{28}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2} \cdot 7} = 1\frac{17}{28} = 1.6071428571428572$$