Add 18/35 and 12/21
18/35 + 12/21 is 38/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 35 × 3 = 105,
18/35 = 18 × 3/35 × 3 = 54/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
12/21 = 12 × 5/21 × 5 = 60/105 - Add the two like fractions:
54/105 + 60/105 = 54 + 60/105 = 114/105 - 114/105 simplified gives 38/35
- So, 18/35 + 12/21 = 38/35
In mixed form: 13/35
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