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Add 21/4 and 42/75

1st number: 5 1/4, 2nd number: 42/75

21/4 + 42/75 is 581/100.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 75 is 300

    Next, find the equivalent fraction of both fractional numbers with denominator 300
  2. For the 1st fraction, since 4 × 75 = 300,
    21/4 = 21 × 75/4 × 75 = 1575/300
  3. Likewise, for the 2nd fraction, since 75 × 4 = 300,
    42/75 = 42 × 4/75 × 4 = 168/300
  4. Add the two like fractions:
    1575/300 + 168/300 = 1575 + 168/300 = 1743/300
  5. 1743/300 simplified gives 581/100
  6. So, 21/4 + 42/75 = 581/100
    In mixed form: 581/100

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