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Add 49/10 and 21/45

1st number: 4 9/10, 2nd number: 21/45

49/10 + 21/45 is 161/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 45 is 90

    Next, find the equivalent fraction of both fractional numbers with denominator 90
  2. For the 1st fraction, since 10 × 9 = 90,
    49/10 = 49 × 9/10 × 9 = 441/90
  3. Likewise, for the 2nd fraction, since 45 × 2 = 90,
    21/45 = 21 × 2/45 × 2 = 42/90
  4. Add the two like fractions:
    441/90 + 42/90 = 441 + 42/90 = 483/90
  5. 483/90 simplified gives 161/30
  6. So, 49/10 + 21/45 = 161/30
    In mixed form: 511/30

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