Solve 1.1/0.253-12.18

$$\frac{ 1.1 }{ 0.25 } 3-12.18$$

Evaluate

$$1.02$$

Solution Steps

Expand \frac{1.1}{0.25} by multiplying both numerator and the denominator by 100.

$$\frac{110}{25}\times 3-12.18$$

Reduce the fraction \frac{110}{25} to lowest terms by extracting and canceling out 5.

$$\frac{22}{5}\times 3-12.18$$

Express \frac{22}{5}\times 3 as a single fraction.

$$\frac{22\times 3}{5}-12.18$$

Multiply 22 and 3 to get 66.

$$\frac{66}{5}-12.18$$

Convert decimal number 12.18 to fraction \frac{1218}{100}. Reduce the fraction \frac{1218}{100} to lowest terms by extracting and canceling out 2.

$$\frac{66}{5}-\frac{609}{50}$$

Least common multiple of 5 and 50 is 50. Convert \frac{66}{5} and \frac{609}{50} to fractions with denominator 50.

$$\frac{660}{50}-\frac{609}{50}$$

Since \frac{660}{50} and \frac{609}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{660-609}{50}$$

Subtract 609 from 660 to get 51.

$$\frac{51}{50}$$

Factor

$$\frac{3 \cdot 17}{2 \cdot 5 ^ {2}} = 1\frac{1}{50} = 1.02$$