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Evaluate the expression shown below and write your answer as a fraction in simplest form. (1)/(15)+(5)/(6) Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline115+56 \frac{1}{15}+\frac{5}{6} \newlineAnswer:

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Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline115+56 \frac{1}{15}+\frac{5}{6} \newlineAnswer:
  1. Identify LCD: Identify the least common denominator (LCD) for the fractions (1)/(15)(1)/(15) and (5)/(6)(5)/(6). The denominators are 1515 and 66. The LCD of 1515 and 66 is 3030 because 3030 is the smallest number that both 1515 and 66 can divide into without leaving a remainder.
  2. Convert to LCD: Convert each fraction to an equivalent fraction with the LCD as the new denominator.\newlineFor (1)/(15)(1)/(15), we multiply the numerator and the denominator by 22 to get (2)/(30)(2)/(30).\newlineFor (5)/(6)(5)/(6), we multiply the numerator and the denominator by 55 to get (25)/(30)(25)/(30).
  3. Add Equivalent Fractions: Add the equivalent fractions together. (230)+(2530)=(2+2530)=(2730)(\frac{2}{30}) + (\frac{25}{30}) = (\frac{2 + 25}{30}) = (\frac{27}{30})
  4. Simplify Result: Simplify the resulting fraction.\newlineBoth the numerator and the denominator of (27)/(30)(27)/(30) can be divided by 33 to simplify the fraction.\newline(27)/(30)÷(3)/(3)=(9)/(10)(27)/(30) \div (3)/(3) = (9)/(10)

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