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Add 10/84 and 42/45

10/84 + 42/45 is 221/210.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    10/84 = 10 × 15/84 × 15 = 150/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    42/45 = 42 × 28/45 × 28 = 1176/1260
  4. Add the two like fractions:
    150/1260 + 1176/1260 = 150 + 1176/1260 = 1326/1260
  5. 1326/1260 simplified gives 221/210
  6. So, 10/84 + 42/45 = 221/210
    In mixed form: 111/210

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