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Add 24/45 and 42/84

24/45 + 42/84 is 31/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 84 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 45 × 28 = 1260,
    24/45 = 24 × 28/45 × 28 = 672/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    42/84 = 42 × 15/84 × 15 = 630/1260
  4. Add the two like fractions:
    672/1260 + 630/1260 = 672 + 630/1260 = 1302/1260
  5. 1302/1260 simplified gives 31/30
  6. So, 24/45 + 42/84 = 31/30
    In mixed form: 11/30

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