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candystarlover4
  1. Find the Least Common Denominator (LCD) of \(\frac{2}{5} , \frac{1}{2}\)
    Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.

    5: 5,10
    2: 2, 4, 6, 8,10

    Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.

    5 : 5
    2 : 2
    Therefore, the LCD is 2 x 5 = 10
     2. Make the denominators the same as the LCD

    \(\frac{2 * 2}{5 * 2} + \frac{1 * 5}{2 * 5}\)

    3. Simplify. Denominators are now the same

    \(\frac{4}{10} + \frac{5}{10}\)

    4. Join the denominators

    \(\frac{4+5}{10}\)

    5. Simplify

    \(\frac{9}{10}\)

    Done (Fact: Decimal Form 0.9)
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