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Add 21/75 and 45/56

21/75 + 45/56 is 1517/1400.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 56 is 4200

    Next, find the equivalent fraction of both fractional numbers with denominator 4200
  2. For the 1st fraction, since 75 × 56 = 4200,
    21/75 = 21 × 56/75 × 56 = 1176/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    45/56 = 45 × 75/56 × 75 = 3375/4200
  4. Add the two like fractions:
    1176/4200 + 3375/4200 = 1176 + 3375/4200 = 4551/4200
  5. 4551/4200 simplified gives 1517/1400
  6. So, 21/75 + 45/56 = 1517/1400
    In mixed form: 1117/1400

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