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Add 42/9 and 21/16

1st number: 4 6/9, 2nd number: 1 5/16

42/9 + 21/16 is 287/48.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 16 is 144

    Next, find the equivalent fraction of both fractional numbers with denominator 144
  2. For the 1st fraction, since 9 × 16 = 144,
    42/9 = 42 × 16/9 × 16 = 672/144
  3. Likewise, for the 2nd fraction, since 16 × 9 = 144,
    21/16 = 21 × 9/16 × 9 = 189/144
  4. Add the two like fractions:
    672/144 + 189/144 = 672 + 189/144 = 861/144
  5. 861/144 simplified gives 287/48
  6. So, 42/9 + 21/16 = 287/48
    In mixed form: 547/48

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