Solve 1-8/25+3/10-1/4=

$$1 - \frac { 8 } { 25 } + \frac { 3 } { 10 } - \frac { 1 } { 4 } =$$

Evaluate

$$\frac{73}{100}=0.73$$

Solution Steps

Convert 1 to fraction \frac{25}{25}.

$$\frac{25}{25}-\frac{8}{25}+\frac{3}{10}-\frac{1}{4}$$

Since \frac{25}{25} and \frac{8}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-8}{25}+\frac{3}{10}-\frac{1}{4}$$

Subtract 8 from 25 to get 17.

$$\frac{17}{25}+\frac{3}{10}-\frac{1}{4}$$

Least common multiple of 25 and 10 is 50. Convert \frac{17}{25} and \frac{3}{10} to fractions with denominator 50.

$$\frac{34}{50}+\frac{15}{50}-\frac{1}{4}$$

Since \frac{34}{50} and \frac{15}{50} have the same denominator, add them by adding their numerators.

$$\frac{34+15}{50}-\frac{1}{4}$$

Add 34 and 15 to get 49.

$$\frac{49}{50}-\frac{1}{4}$$

Least common multiple of 50 and 4 is 100. Convert \frac{49}{50} and \frac{1}{4} to fractions with denominator 100.

$$\frac{98}{100}-\frac{25}{100}$$

Since \frac{98}{100} and \frac{25}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{98-25}{100}$$

Subtract 25 from 98 to get 73.

$$\frac{73}{100}$$

Factor

$$\frac{73}{2 ^ {2} \cdot 5 ^ {2}} = 0.73$$