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Add 30/40 and 75/14

1st number: 30/40, 2nd number: 5 5/14

30/40 + 75/14 is 171/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 14 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 40 × 7 = 280,
    30/40 = 30 × 7/40 × 7 = 210/280
  3. Likewise, for the 2nd fraction, since 14 × 20 = 280,
    75/14 = 75 × 20/14 × 20 = 1500/280
  4. Add the two like fractions:
    210/280 + 1500/280 = 210 + 1500/280 = 1710/280
  5. 1710/280 simplified gives 171/28
  6. So, 30/40 + 75/14 = 171/28
    In mixed form: 63/28

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