Solve 35div115%-6%

$$35 \div 115 \% -6 \%$$

Evaluate

$$\frac{34931}{1150}\approx 30.374782609$$

Solution Steps

Divide 35 by \frac{115}{100} by multiplying 35 by the reciprocal of \frac{115}{100}.

$$\frac{35\times 100}{115}-\frac{6}{100}$$

Multiply 35 and 100 to get 3500.

$$\frac{3500}{115}-\frac{6}{100}$$

Reduce the fraction \frac{3500}{115} to lowest terms by extracting and canceling out 5.

$$\frac{700}{23}-\frac{6}{100}$$

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$\frac{700}{23}-\frac{3}{50}$$

Least common multiple of 23 and 50 is 1150. Convert \frac{700}{23} and \frac{3}{50} to fractions with denominator 1150.

$$\frac{35000}{1150}-\frac{69}{1150}$$

Since \frac{35000}{1150} and \frac{69}{1150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35000-69}{1150}$$

Subtract 69 from 35000 to get 34931.

$$\frac{34931}{1150}$$

Factor

$$\frac{13 \cdot 2687}{2 \cdot 5 ^ {2} \cdot 23} = 30\frac{431}{1150} = 30.374782608695654$$