Solve 1.74-2/5-0.56+5/4-0.22

$$1.74- \frac{ 2 }{ 5 } -0.56+ \frac{ 5 }{ 4 } -0.22$$

Evaluate

$$1.81$$

Solution Steps

Convert decimal number 1.74 to fraction \frac{174}{100}. Reduce the fraction \frac{174}{100} to lowest terms by extracting and canceling out 2.

$$\frac{87}{50}-\frac{2}{5}-0.56+\frac{5}{4}-0.22$$

Least common multiple of 50 and 5 is 50. Convert \frac{87}{50} and \frac{2}{5} to fractions with denominator 50.

$$\frac{87}{50}-\frac{20}{50}-0.56+\frac{5}{4}-0.22$$

Since \frac{87}{50} and \frac{20}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{87-20}{50}-0.56+\frac{5}{4}-0.22$$

Subtract 20 from 87 to get 67.

$$\frac{67}{50}-0.56+\frac{5}{4}-0.22$$

Convert decimal number 0.56 to fraction \frac{56}{100}. Reduce the fraction \frac{56}{100} to lowest terms by extracting and canceling out 4.

$$\frac{67}{50}-\frac{14}{25}+\frac{5}{4}-0.22$$

Least common multiple of 50 and 25 is 50. Convert \frac{67}{50} and \frac{14}{25} to fractions with denominator 50.

$$\frac{67}{50}-\frac{28}{50}+\frac{5}{4}-0.22$$

Since \frac{67}{50} and \frac{28}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{67-28}{50}+\frac{5}{4}-0.22$$

Subtract 28 from 67 to get 39.

$$\frac{39}{50}+\frac{5}{4}-0.22$$

Least common multiple of 50 and 4 is 100. Convert \frac{39}{50} and \frac{5}{4} to fractions with denominator 100.

$$\frac{78}{100}+\frac{125}{100}-0.22$$

Since \frac{78}{100} and \frac{125}{100} have the same denominator, add them by adding their numerators.

$$\frac{78+125}{100}-0.22$$

Add 78 and 125 to get 203.

$$\frac{203}{100}-0.22$$

Convert decimal number 0.22 to fraction \frac{22}{100}. Reduce the fraction \frac{22}{100} to lowest terms by extracting and canceling out 2.

$$\frac{203}{100}-\frac{11}{50}$$

Least common multiple of 100 and 50 is 100. Convert \frac{203}{100} and \frac{11}{50} to fractions with denominator 100.

$$\frac{203}{100}-\frac{22}{100}$$

Since \frac{203}{100} and \frac{22}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{203-22}{100}$$

Subtract 22 from 203 to get 181.

$$\frac{181}{100}$$

Factor

$$\frac{181}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{81}{100} = 1.81$$