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Add 35/40 and 42/45

35/40 + 42/45 is 217/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 45 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 40 × 9 = 360,
    35/40 = 35 × 9/40 × 9 = 315/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    42/45 = 42 × 8/45 × 8 = 336/360
  4. Add the two like fractions:
    315/360 + 336/360 = 315 + 336/360 = 651/360
  5. 651/360 simplified gives 217/120
  6. So, 35/40 + 42/45 = 217/120
    In mixed form: 197/120

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