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Add 42/10 and 75/84

1st number: 4 2/10, 2nd number: 75/84

42/10 + 75/84 is 713/140.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 84 is 420
  2. For the 1st fraction, since 10 × 42 = 420,
    42/10 = 42 × 42/10 × 42 = 1764/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    75/84 = 75 × 5/84 × 5 = 375/420
  4. Add the two fractions:
    1764/420 + 375/420 = 1764 + 375/420 = 2139/420
  5. 2139/420 simplified gives 713/140
  6. So, 42/10 + 75/84 = 713/140
    In mixed form: 513/140

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