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-(54)/(50)-(40)/(100)+1.65=
Enter the answer as an exact decimal or simplified fraction.

545040100+1.65= -\frac{54}{50}-\frac{40}{100}+1.65= \newlineEnter the answer as an exact decimal or simplified fraction.

Full solution

Q. 545040100+1.65= -\frac{54}{50}-\frac{40}{100}+1.65= \newlineEnter the answer as an exact decimal or simplified fraction.
  1. Simplify Fractions and Convert: Simplify the fractions and convert the decimal to a fraction.\newline5450-\frac{54}{50} can be simplified by dividing both the numerator and the denominator by 22, which gives 2725-\frac{27}{25}.\newline40100-\frac{40}{100} can be simplified by dividing both the numerator and the denominator by 1010, which gives 410-\frac{4}{10}, and further simplifying by dividing by 22 gives 25-\frac{2}{5}.\newline1.651.65 can be converted to a fraction by writing it as 165100\frac{165}{100} and simplifying by dividing both the numerator and the denominator by 2200, which gives 2211.
  2. Convert to Common Denominator: Convert all fractions to have a common denominator.\newlineThe least common multiple (LCM) of 2525, 55, and 2020 is 100100.\newlineConvert 2725-\frac{27}{25} to 108100-\frac{108}{100} by multiplying both the numerator and the denominator by 44.\newlineConvert 25-\frac{2}{5} to 40100-\frac{40}{100} by multiplying both the numerator and the denominator by 2020.\newline5500 is already in terms of 100100, so we multiply both the numerator and the denominator by 55 to get 5533.
  3. Add Fractions: Add the fractions together.\newlineNow that all fractions have a common denominator, we can add them together.\newline-\frac{108}{100} - \frac{40}{100} + \frac{165}{100} = (\-108 - 40 + 165) / 100\newlineCalculate the numerator: 10840+165=17-108 - 40 + 165 = 17\newlineSo the sum of the fractions is 17100\frac{17}{100}.
  4. Write Final Answer: Write the final answer.\newlineThe final answer is 17100\frac{17}{100}, which is already in simplest form and does not need further simplification.

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