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Add 40/72 and 6/45

40/72 + 6/45 is 31/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 72 and 45 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 72 × 5 = 360,
    40/72 = 40 × 5/72 × 5 = 200/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    6/45 = 6 × 8/45 × 8 = 48/360
  4. Add the two like fractions:
    200/360 + 48/360 = 200 + 48/360 = 248/360
  5. 248/360 simplified gives 31/45
  6. So, 40/72 + 6/45 = 31/45

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