Solve 70-4(88/100-354004000/407922000)*100

$$70-4( \frac{ 88 }{ 100 } - \frac{ 354004000 }{ 407922000 } ) \times 100$$

Evaluate

$$\frac{13283798}{203961}\approx 65.129108016$$

Solution Steps

Reduce the fraction \frac{88}{100} to lowest terms by extracting and canceling out 4.

$$70-4\left(\frac{22}{25}-\frac{354004000}{407922000}\right)\times 100$$

Reduce the fraction \frac{354004000}{407922000} to lowest terms by extracting and canceling out 2000.

$$70-4\left(\frac{22}{25}-\frac{177002}{203961}\right)\times 100$$

Least common multiple of 25 and 203961 is 5099025. Convert \frac{22}{25} and \frac{177002}{203961} to fractions with denominator 5099025.

$$70-4\left(\frac{4487142}{5099025}-\frac{4425050}{5099025}\right)\times 100$$

Since \frac{4487142}{5099025} and \frac{4425050}{5099025} have the same denominator, subtract them by subtracting their numerators.

$$70-4\times \frac{4487142-4425050}{5099025}\times 100$$

Subtract 4425050 from 4487142 to get 62092.

$$70-4\times \frac{62092}{5099025}\times 100$$

Express 4\times \frac{62092}{5099025} as a single fraction.

$$70-\frac{4\times 62092}{5099025}\times 100$$

Multiply 4 and 62092 to get 248368.

$$70-\frac{248368}{5099025}\times 100$$

Express \frac{248368}{5099025}\times 100 as a single fraction.

$$70-\frac{248368\times 100}{5099025}$$

Multiply 248368 and 100 to get 24836800.

$$70-\frac{24836800}{5099025}$$

Reduce the fraction \frac{24836800}{5099025} to lowest terms by extracting and canceling out 25.

$$70-\frac{993472}{203961}$$

Convert 70 to fraction \frac{14277270}{203961}.

$$\frac{14277270}{203961}-\frac{993472}{203961}$$

Since \frac{14277270}{203961} and \frac{993472}{203961} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14277270-993472}{203961}$$

Subtract 993472 from 14277270 to get 13283798.

$$\frac{13283798}{203961}$$

Factor

$$\frac{2 \cdot 11 \cdot 29 \cdot 47 \cdot 443}{3 \cdot 67987} = 65\frac{26333}{203961} = 65.1291080157481$$