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Add 21/40 and 7/45

21/40 + 7/45 is 49/72.

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,
    21/40 = 21 × 9/40 × 9 = 189/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    7/45 = 7 × 8/45 × 8 = 56/360
  4. Add the two like fractions:
    189/360 + 56/360 = 189 + 56/360 = 245/360
  5. 245/360 simplified gives 49/72
  6. So, 21/40 + 7/45 = 49/72

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