Q. −5054−10040+1.65=Enter the answer as an exact decimal or simplified fraction.
Simplify Fractions and Convert: Simplify the fractions and convert the decimal to a fraction.−5054 can be simplified by dividing both the numerator and the denominator by 2, which gives −2527.−10040 can be simplified by dividing both the numerator and the denominator by 10, which gives −104, and further simplifying by dividing by 2 gives −52.1.65 can be converted to a fraction by writing it as 100165 and simplifying by dividing both the numerator and the denominator by 20, which gives 21.
Convert to Common Denominator: Convert all fractions to have a common denominator.The least common multiple (LCM) of 25, 5, and 20 is 100.Convert −2527 to −100108 by multiplying both the numerator and the denominator by 4.Convert −52 to −10040 by multiplying both the numerator and the denominator by 20.50 is already in terms of 100, so we multiply both the numerator and the denominator by 5 to get 53.
Add Fractions: Add the fractions together.Now that all fractions have a common denominator, we can add them together.-\frac{108}{100} - \frac{40}{100} + \frac{165}{100} = (\-108 - 40 + 165) / 100Calculate the numerator: −108−40+165=17So the sum of the fractions is 10017.
Write Final Answer: Write the final answer.The final answer is 10017, which is already in simplest form and does not need further simplification.
More problems from Powers with decimal and fractional bases