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Add 30/21 and 42/45

1st number: 1 9/21, 2nd number: 42/45

30/21 + 42/45 is 248/105.

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,
    42/45 = 42 × 7/45 × 7 = 294/315
  4. Add the two like fractions:
    450/315 + 294/315 = 450 + 294/315 = 744/315
  5. 744/315 simplified gives 248/105
  6. So, 30/21 + 42/45 = 248/105
    In mixed form: 238/105

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