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Add 3/40 and 42/45

3/40 + 42/45 is 121/120.

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,
    3/40 = 3 × 9/40 × 9 = 27/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    42/45 = 42 × 8/45 × 8 = 336/360
  4. Add the two like fractions:
    27/360 + 336/360 = 27 + 336/360 = 363/360
  5. 363/360 simplified gives 121/120
  6. So, 3/40 + 42/45 = 121/120
    In mixed form: 11/120

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