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Add 10/40 and 2/45

10/40 + 2/45 is 53/180.

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,
    10/40 = 10 × 9/40 × 9 = 90/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    2/45 = 2 × 8/45 × 8 = 16/360
  4. Add the two like fractions:
    90/360 + 16/360 = 90 + 16/360 = 106/360
  5. 106/360 simplified gives 53/180
  6. So, 10/40 + 2/45 = 53/180

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