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Add 40/45 and 21/48

40/45 + 21/48 is 191/144.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 48 is 720

    Next, find the equivalent fraction of both fractional numbers with denominator 720
  2. For the 1st fraction, since 45 × 16 = 720,
    40/45 = 40 × 16/45 × 16 = 640/720
  3. Likewise, for the 2nd fraction, since 48 × 15 = 720,
    21/48 = 21 × 15/48 × 15 = 315/720
  4. Add the two like fractions:
    640/720 + 315/720 = 640 + 315/720 = 955/720
  5. 955/720 simplified gives 191/144
  6. So, 40/45 + 21/48 = 191/144
    In mixed form: 147/144

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