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Add 30/21 and 48/45

1st number: 1 9/21, 2nd number: 1 3/45

30/21 + 48/45 is 262/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 45 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 21 × 15 = 315,
    30/21 = 30 × 15/21 × 15 = 450/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    48/45 = 48 × 7/45 × 7 = 336/315
  4. Add the two like fractions:
    450/315 + 336/315 = 450 + 336/315 = 786/315
  5. 786/315 simplified gives 262/105
  6. So, 30/21 + 48/45 = 262/105
    In mixed form: 252/105

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