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Add 30/35 and 40/72

30/35 + 40/72 is 89/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 72 is 2520

    Next, find the equivalent fraction of both fractional numbers with denominator 2520
  2. For the 1st fraction, since 35 × 72 = 2520,
    30/35 = 30 × 72/35 × 72 = 2160/2520
  3. Likewise, for the 2nd fraction, since 72 × 35 = 2520,
    40/72 = 40 × 35/72 × 35 = 1400/2520
  4. Add the two like fractions:
    2160/2520 + 1400/2520 = 2160 + 1400/2520 = 3560/2520
  5. 3560/2520 simplified gives 89/63
  6. So, 30/35 + 40/72 = 89/63
    In mixed form: 126/63

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