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Add 9/14 and 21/45

9/14 + 21/45 is 233/210.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 14 and 45 is 630

    Next, find the equivalent fraction of both fractional numbers with denominator 630
  2. For the 1st fraction, since 14 × 45 = 630,
    9/14 = 9 × 45/14 × 45 = 405/630
  3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
    21/45 = 21 × 14/45 × 14 = 294/630
  4. Add the two like fractions:
    405/630 + 294/630 = 405 + 294/630 = 699/630
  5. 699/630 simplified gives 233/210
  6. So, 9/14 + 21/45 = 233/210
    In mixed form: 123/210

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