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Add 4/10 and 30/32

4/10 + 30/32 is 107/80.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 32 is 160

    Next, find the equivalent fraction of both fractional numbers with denominator 160
  2. For the 1st fraction, since 10 × 16 = 160,
    4/10 = 4 × 16/10 × 16 = 64/160
  3. Likewise, for the 2nd fraction, since 32 × 5 = 160,
    30/32 = 30 × 5/32 × 5 = 150/160
  4. Add the two like fractions:
    64/160 + 150/160 = 64 + 150/160 = 214/160
  5. 214/160 simplified gives 107/80
  6. So, 4/10 + 30/32 = 107/80
    In mixed form: 127/80

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