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Add 49/10 and 90/84

1st number: 4 9/10, 2nd number: 1 6/84

49/10 + 90/84 is 209/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 84 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 10 × 42 = 420,
    49/10 = 49 × 42/10 × 42 = 2058/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    90/84 = 90 × 5/84 × 5 = 450/420
  4. Add the two like fractions:
    2058/420 + 450/420 = 2058 + 450/420 = 2508/420
  5. 2508/420 simplified gives 209/35
  6. So, 49/10 + 90/84 = 209/35
    In mixed form: 534/35

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