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Add 42/9 and 21/40

1st number: 4 6/9, 2nd number: 21/40

42/9 + 21/40 is 623/120.

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,
    42/9 = 42 × 40/9 × 40 = 1680/360
  3. Likewise, for the 2nd fraction, since 40 × 9 = 360,
    21/40 = 21 × 9/40 × 9 = 189/360
  4. Add the two like fractions:
    1680/360 + 189/360 = 1680 + 189/360 = 1869/360
  5. 1869/360 simplified gives 623/120
  6. So, 42/9 + 21/40 = 623/120
    In mixed form: 523/120

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