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Add 2/5 and 32/42

2/5 + 32/42 is 122/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 42 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 5 × 42 = 210,
    2/5 = 2 × 42/5 × 42 = 84/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    32/42 = 32 × 5/42 × 5 = 160/210
  4. Add the two like fractions:
    84/210 + 160/210 = 84 + 160/210 = 244/210
  5. 244/210 simplified gives 122/105
  6. So, 2/5 + 32/42 = 122/105
    In mixed form: 117/105

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