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Add 75/7 and 21/45

1st number: 10 5/7, 2nd number: 21/45

75/7 + 21/45 is 1174/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 7 and 45 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 7 × 45 = 315,
    75/7 = 75 × 45/7 × 45 = 3375/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    21/45 = 21 × 7/45 × 7 = 147/315
  4. Add the two like fractions:
    3375/315 + 147/315 = 3375 + 147/315 = 3522/315
  5. 3522/315 simplified gives 1174/105
  6. So, 75/7 + 21/45 = 1174/105
    In mixed form: 1119/105

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