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Add 18/72 and 40/49

18/72 + 40/49 is 209/196.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 72 and 49 is 3528

    Next, find the equivalent fraction of both fractional numbers with denominator 3528
  2. For the 1st fraction, since 72 × 49 = 3528,
    18/72 = 18 × 49/72 × 49 = 882/3528
  3. Likewise, for the 2nd fraction, since 49 × 72 = 3528,
    40/49 = 40 × 72/49 × 72 = 2880/3528
  4. Add the two like fractions:
    882/3528 + 2880/3528 = 882 + 2880/3528 = 3762/3528
  5. 3762/3528 simplified gives 209/196
  6. So, 18/72 + 40/49 = 209/196
    In mixed form: 113/196

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