Solve 0.9-70%*125X*6.3%div(30%*125X+5%*125X)=

$$0.9 - 70 \% \times 125 X \times 6.3 \% \div ( 30 \% \times 125 X + 5 \% \times 125 X ) =$$

Evaluate

$$0.774$$

Solution Steps

Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.

$$0.9-\frac{\frac{7}{10}\times 125X\times \frac{6.3}{100}}{\frac{30}{100}\times 125X+\frac{5}{100}\times 125X}$$

Express \frac{7}{10}\times 125 as a single fraction.

$$0.9-\frac{\frac{7\times 125}{10}X\times \frac{6.3}{100}}{\frac{30}{100}\times 125X+\frac{5}{100}\times 125X}$$

Multiply 7 and 125 to get 875.

$$0.9-\frac{\frac{875}{10}X\times \frac{6.3}{100}}{\frac{30}{100}\times 125X+\frac{5}{100}\times 125X}$$

Reduce the fraction \frac{875}{10} to lowest terms by extracting and canceling out 5.

$$0.9-\frac{\frac{175}{2}X\times \frac{6.3}{100}}{\frac{30}{100}\times 125X+\frac{5}{100}\times 125X}$$

Expand \frac{6.3}{100} by multiplying both numerator and the denominator by 10.

$$0.9-\frac{\frac{175}{2}X\times \frac{63}{1000}}{\frac{30}{100}\times 125X+\frac{5}{100}\times 125X}$$

Multiply \frac{175}{2} times \frac{63}{1000} by multiplying numerator times numerator and denominator times denominator.

$$0.9-\frac{\frac{175\times 63}{2\times 1000}X}{\frac{30}{100}\times 125X+\frac{5}{100}\times 125X}$$

Do the multiplications in the fraction \frac{175\times 63}{2\times 1000}.

$$0.9-\frac{\frac{11025}{2000}X}{\frac{30}{100}\times 125X+\frac{5}{100}\times 125X}$$

Reduce the fraction \frac{11025}{2000} to lowest terms by extracting and canceling out 25.

$$0.9-\frac{\frac{441}{80}X}{\frac{30}{100}\times 125X+\frac{5}{100}\times 125X}$$

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$0.9-\frac{\frac{441}{80}X}{\frac{3}{10}\times 125X+\frac{5}{100}\times 125X}$$

Express \frac{3}{10}\times 125 as a single fraction.

$$0.9-\frac{\frac{441}{80}X}{\frac{3\times 125}{10}X+\frac{5}{100}\times 125X}$$

Multiply 3 and 125 to get 375.

$$0.9-\frac{\frac{441}{80}X}{\frac{375}{10}X+\frac{5}{100}\times 125X}$$

Reduce the fraction \frac{375}{10} to lowest terms by extracting and canceling out 5.

$$0.9-\frac{\frac{441}{80}X}{\frac{75}{2}X+\frac{5}{100}\times 125X}$$

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

$$0.9-\frac{\frac{441}{80}X}{\frac{75}{2}X+\frac{1}{20}\times 125X}$$

Multiply \frac{1}{20} and 125 to get \frac{125}{20}.

$$0.9-\frac{\frac{441}{80}X}{\frac{75}{2}X+\frac{125}{20}X}$$

Reduce the fraction \frac{125}{20} to lowest terms by extracting and canceling out 5.

$$0.9-\frac{\frac{441}{80}X}{\frac{75}{2}X+\frac{25}{4}X}$$

Combine \frac{75}{2}X and \frac{25}{4}X to get \frac{175}{4}X.

$$0.9-\frac{\frac{441}{80}X}{\frac{175}{4}X}$$

Cancel out X in both numerator and denominator.

$$0.9-\frac{\frac{441}{80}}{\frac{175}{4}}$$

Divide \frac{441}{80} by \frac{175}{4} by multiplying \frac{441}{80} by the reciprocal of \frac{175}{4}.

$$0.9-\frac{441}{80}\times \frac{4}{175}$$

Multiply \frac{441}{80} times \frac{4}{175} by multiplying numerator times numerator and denominator times denominator.

$$0.9-\frac{441\times 4}{80\times 175}$$

Do the multiplications in the fraction \frac{441\times 4}{80\times 175}.

$$0.9-\frac{1764}{14000}$$

Reduce the fraction \frac{1764}{14000} to lowest terms by extracting and canceling out 28.

$$0.9-\frac{63}{500}$$

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$\frac{9}{10}-\frac{63}{500}$$

Least common multiple of 10 and 500 is 500. Convert \frac{9}{10} and \frac{63}{500} to fractions with denominator 500.

$$\frac{450}{500}-\frac{63}{500}$$

Since \frac{450}{500} and \frac{63}{500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{450-63}{500}$$

Subtract 63 from 450 to get 387.

$$\frac{387}{500}$$

Factor

$$\frac{43 \cdot 3 ^ {2}}{2 ^ {2} \cdot 5 ^ {3}} = 0.774$$