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Add 30/9 and 21/40

1st number: 3 3/9, 2nd number: 21/40

30/9 + 21/40 is 463/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 40 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 9 × 40 = 360,
    30/9 = 30 × 40/9 × 40 = 1200/360
  3. Likewise, for the 2nd fraction, since 40 × 9 = 360,
    21/40 = 21 × 9/40 × 9 = 189/360
  4. Add the two like fractions:
    1200/360 + 189/360 = 1200 + 189/360 = 1389/360
  5. 1389/360 simplified gives 463/120
  6. So, 30/9 + 21/40 = 463/120
    In mixed form: 3103/120

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