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Elena has been monitoring her mileage. According to last week's driving log, she drove 25\frac{2}{5} of a mile in her car and 12\frac{1}{2} of a mile in her truck. How far did Elena drive last week in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ miles

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Q. Elena has been monitoring her mileage. According to last week's driving log, she drove 25\frac{2}{5} of a mile in her car and 12\frac{1}{2} of a mile in her truck. How far did Elena drive last week in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ miles
  1. Identify fractions: Step 11: Identify the fractions to add.\newlineElena drove 25\frac{2}{5} mile in her car and 12\frac{1}{2} mile in her truck. We need to add these fractions.\newline25+12\frac{2}{5} + \frac{1}{2}
  2. Find common denominator: Step 22: Find a common denominator.\newlineThe denominators are 55 and 22. The least common denominator (LCD) is 1010.\newline25=(2×25×2)=410\frac{2}{5} = \left(\frac{2\times2}{5\times2}\right) = \frac{4}{10}\newline12=(1×52×5)=510\frac{1}{2} = \left(\frac{1\times5}{2\times5}\right) = \frac{5}{10}
  3. Add fractions: Step 33: Add the fractions.\newline410+510=910\frac{4}{10} + \frac{5}{10} = \frac{9}{10}

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