Add 12/21 and 30/35
12/21 + 30/35 is 10/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
12/21 = 12 × 5/21 × 5 = 60/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
30/35 = 30 × 3/35 × 3 = 90/105 - Add the two like fractions:
60/105 + 90/105 = 60 + 90/105 = 150/105 - 150/105 simplified gives 10/7
- So, 12/21 + 30/35 = 10/7
In mixed form: 13/7
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