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Evaluate the expression shown below and write your answer as a fraction in simplest form. (1)/(9)-(11)/(15) Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline19−1115 \frac{1}{9}-\frac{11}{15} \newlineAnswer:

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Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline19−1115 \frac{1}{9}-\frac{11}{15} \newlineAnswer:
  1. Find Common Denominator: Find a common denominator for the fractions (19)(\frac{1}{9}) and (1115)(\frac{11}{15}). The least common multiple (LCM) of 99 and 1515 is 4545, so we will use 4545 as the common denominator.
  2. Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the common denominator of 4545. For (19)(\frac{1}{9}), we multiply the numerator and the denominator by 55 to get (545)(\frac{5}{45}). For (1115)(\frac{11}{15}), we multiply the numerator and the denominator by 33 to get (3345)(\frac{33}{45}).
  3. Subtract Fractions: Subtract the two fractions with the common denominator.\newline(545)−(3345)=5−3345=−2845(\frac{5}{45}) - (\frac{33}{45}) = \frac{5 - 33}{45} = \frac{-28}{45}
  4. Simplify Fraction: Simplify the fraction (−28)/45(-28)/45 if possible.\newlineBoth the numerator and the denominator do not have any common factors other than 11, so the fraction is already in its simplest form.

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