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Add 7/54 and 42/49

7/54 + 42/49 is 373/378.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 54 and 49 is 2646

    Next, find the equivalent fraction of both fractional numbers with denominator 2646
  2. For the 1st fraction, since 54 × 49 = 2646,
    7/54 = 7 × 49/54 × 49 = 343/2646
  3. Likewise, for the 2nd fraction, since 49 × 54 = 2646,
    42/49 = 42 × 54/49 × 54 = 2268/2646
  4. Add the two like fractions:
    343/2646 + 2268/2646 = 343 + 2268/2646 = 2611/2646
  5. 2611/2646 simplified gives 373/378
  6. So, 7/54 + 42/49 = 373/378

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