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Of the houses in Erica's neighborhood, 15\frac{1}{5} are blue and another 310\frac{3}{10} are yellow. What fraction of the houses are either blue or yellow?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____  of the houses

Full solution

Q. Of the houses in Erica's neighborhood, 15\frac{1}{5} are blue and another 310\frac{3}{10} are yellow. What fraction of the houses are either blue or yellow?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____  of the houses
  1. Identify fractions to add: Step 11: Identify the fractions to add. We have 15\frac{1}{5} of the houses that are blue and 310\frac{3}{10} that are yellow. We need to add these fractions to find out how many houses are either blue or yellow.
  2. Find common denominator: Step 22: Find a common denominator for 15\frac{1}{5} and 310\frac{3}{10}. The denominators are 55 and 1010, so the least common denominator is 1010.
  3. Convert fractions to common denominator: Step 33: Convert 15\frac{1}{5} to a fraction with denominator 1010. 15\frac{1}{5} equals 210\frac{2}{10} because 1×2=21 \times 2 = 2 and 5×2=105 \times 2 = 10.
  4. Add fractions: Step 44: Add the fractions 210\frac{2}{10} and 310\frac{3}{10}. 210+310=510\frac{2}{10} + \frac{3}{10} = \frac{5}{10}.
  5. Simplify result: Step 55: Simplify 510\frac{5}{10} to its lowest terms. 510\frac{5}{10} equals 12\frac{1}{2} because both numerator and denominator can be divided by 55.

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