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Add 3/90 and 30/42

3/90 + 30/42 is 157/210.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 90 and 42 is 630

    Next, find the equivalent fraction of both fractional numbers with denominator 630
  2. For the 1st fraction, since 90 × 7 = 630,
    3/90 = 3 × 7/90 × 7 = 21/630
  3. Likewise, for the 2nd fraction, since 42 × 15 = 630,
    30/42 = 30 × 15/42 × 15 = 450/630
  4. Add the two like fractions:
    21/630 + 450/630 = 21 + 450/630 = 471/630
  5. 471/630 simplified gives 157/210
  6. So, 3/90 + 30/42 = 157/210

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