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Add 7/10 and 27/42

7/10 + 27/42 is 47/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 42 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 10 × 21 = 210,
    7/10 = 7 × 21/10 × 21 = 147/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    27/42 = 27 × 5/42 × 5 = 135/210
  4. Add the two like fractions:
    147/210 + 135/210 = 147 + 135/210 = 282/210
  5. 282/210 simplified gives 47/35
  6. So, 7/10 + 27/42 = 47/35
    In mixed form: 112/35

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