Solve 6%+4%-0.9%=

$$6 \% +4 \% -0.9 \% =$$

Evaluate

$$0.091$$

Solution Steps

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

$$\frac{3}{50}+\frac{4}{100}-\frac{0.9}{100}$$

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

$$\frac{3}{50}+\frac{1}{25}-\frac{0.9}{100}$$

Least common multiple of 50 and 25 is 50. Convert \frac{3}{50} and \frac{1}{25} to fractions with denominator 50.

$$\frac{3}{50}+\frac{2}{50}-\frac{0.9}{100}$$

Since \frac{3}{50} and \frac{2}{50} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{50}-\frac{0.9}{100}$$

Add 3 and 2 to get 5.

$$\frac{5}{50}-\frac{0.9}{100}$$

Reduce the fraction \frac{5}{50} to lowest terms by extracting and canceling out 5.

$$\frac{1}{10}-\frac{0.9}{100}$$

Expand \frac{0.9}{100} by multiplying both numerator and the denominator by 10.

$$\frac{1}{10}-\frac{9}{1000}$$

Least common multiple of 10 and 1000 is 1000. Convert \frac{1}{10} and \frac{9}{1000} to fractions with denominator 1000.

$$\frac{100}{1000}-\frac{9}{1000}$$

Since \frac{100}{1000} and \frac{9}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-9}{1000}$$

Subtract 9 from 100 to get 91.

$$\frac{91}{1000}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {3} \cdot 5 ^ {3}} = 0.091$$