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Add 7/45 and 40/56

7/45 + 40/56 is 274/315.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 56 is 2520

    Next, find the equivalent fraction of both fractional numbers with denominator 2520
  2. For the 1st fraction, since 45 × 56 = 2520,
    7/45 = 7 × 56/45 × 56 = 392/2520
  3. Likewise, for the 2nd fraction, since 56 × 45 = 2520,
    40/56 = 40 × 45/56 × 45 = 1800/2520
  4. Add the two like fractions:
    392/2520 + 1800/2520 = 392 + 1800/2520 = 2192/2520
  5. 2192/2520 simplified gives 274/315
  6. So, 7/45 + 40/56 = 274/315

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