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Add 10/75 and 42/72

10/75 + 42/72 is 43/60.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 72 is 1800

    Next, find the equivalent fraction of both fractional numbers with denominator 1800
  2. For the 1st fraction, since 75 × 24 = 1800,
    10/75 = 10 × 24/75 × 24 = 240/1800
  3. Likewise, for the 2nd fraction, since 72 × 25 = 1800,
    42/72 = 42 × 25/72 × 25 = 1050/1800
  4. Add the two like fractions:
    240/1800 + 1050/1800 = 240 + 1050/1800 = 1290/1800
  5. 1290/1800 simplified gives 43/60
  6. So, 10/75 + 42/72 = 43/60

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