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Add 15/84 and 70/75

15/84 + 70/75 is 467/420.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 75 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 84 × 25 = 2100,
    15/84 = 15 × 25/84 × 25 = 375/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    70/75 = 70 × 28/75 × 28 = 1960/2100
  4. Add the two like fractions:
    375/2100 + 1960/2100 = 375 + 1960/2100 = 2335/2100
  5. 2335/2100 simplified gives 467/420
  6. So, 15/84 + 70/75 = 467/420
    In mixed form: 147/420

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