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Add 7/10 and 21/30

7/10 + 21/30 is 7/5.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 30 is 30
  2. For the 1st fraction, since 10 × 3 = 30,
    7/10 = 7 × 3/10 × 3 = 21/30
  3. Likewise, for the 2nd fraction, since 30 × 1 = 30,
    21/30 = 21 × 1/30 × 1 = 21/30
  4. Add the two fractions:
    21/30 + 21/30 = 21 + 21/30 = 42/30
  5. 42/30 simplified gives 7/5
  6. So, 7/10 + 21/30 = 7/5
    In mixed form: 12/5

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