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Add 30/40 and 30/84

30/40 + 30/84 is 31/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 84 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 40 × 21 = 840,
    30/40 = 30 × 21/40 × 21 = 630/840
  3. Likewise, for the 2nd fraction, since 84 × 10 = 840,
    30/84 = 30 × 10/84 × 10 = 300/840
  4. Add the two like fractions:
    630/840 + 300/840 = 630 + 300/840 = 930/840
  5. 930/840 simplified gives 31/28
  6. So, 30/40 + 30/84 = 31/28
    In mixed form: 13/28

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