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Add 20/45 and 14/35

20/45 + 14/35 is 38/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 35 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    20/45 = 20 × 7/45 × 7 = 140/315
  3. Likewise, for the 2nd fraction, since 35 × 9 = 315,
    14/35 = 14 × 9/35 × 9 = 126/315
  4. Add the two like fractions:
    140/315 + 126/315 = 140 + 126/315 = 266/315
  5. 266/315 simplified gives 38/45
  6. So, 20/45 + 14/35 = 38/45

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