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Evaluate the expression shown below and write your answer as a fraction in simplest form. (9)/(4)+(1)/(10) Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline94+110 \frac{9}{4}+\frac{1}{10} \newlineAnswer:

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Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline94+110 \frac{9}{4}+\frac{1}{10} \newlineAnswer:
  1. Find Common Denominator: Find a common denominator for the fractions (94)(\frac{9}{4}) and (110)(\frac{1}{10}).\newlineThe least common multiple (LCM) of the denominators 44 and 1010 is 2020.
  2. Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of 2020. \newline(94)(\frac{9}{4}) becomes (9×54×5)=(4520)(\frac{9\times5}{4\times5}) = (\frac{45}{20})\newline(110)(\frac{1}{10}) becomes (1×210×2)=(220)(\frac{1\times2}{10\times2}) = (\frac{2}{20})
  3. Add Fractions: Add the fractions with the common denominator.\newline(4520)+(220)=(45+220)=(4720)(\frac{45}{20}) + (\frac{2}{20}) = (\frac{45 + 2}{20}) = (\frac{47}{20})
  4. Check for Simplification: Check if the resulting fraction (47/20)(47/20) can be simplified.\newlineSince 4747 is a prime number and 2020 is not a multiple of 4747, the fraction is already in its simplest form.

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