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Add 3/10 and 42/63

3/10 + 42/63 is 29/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 63 is 630

    Next, find the equivalent fraction of both fractional numbers with denominator 630
  2. For the 1st fraction, since 10 × 63 = 630,
    3/10 = 3 × 63/10 × 63 = 189/630
  3. Likewise, for the 2nd fraction, since 63 × 10 = 630,
    42/63 = 42 × 10/63 × 10 = 420/630
  4. Add the two like fractions:
    189/630 + 420/630 = 189 + 420/630 = 609/630
  5. 609/630 simplified gives 29/30
  6. So, 3/10 + 42/63 = 29/30

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