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Add 30/42 and 10/45

30/42 + 10/45 is 59/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 45 is 630
  2. For the 1st fraction, since 42 × 15 = 630,
    30/42 = 30 × 15/42 × 15 = 450/630
  3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
    10/45 = 10 × 14/45 × 14 = 140/630
  4. Add the two fractions:
    450/630 + 140/630 = 450 + 140/630 = 590/630
  5. 590/630 simplified gives 59/63
  6. So, 30/42 + 10/45 = 59/63

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