Add 3/5 and 12/21
3/5 + 12/21 is 41/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 5 × 21 = 105,
3/5 = 3 × 21/5 × 21 = 63/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
12/21 = 12 × 5/21 × 5 = 60/105 - Add the two like fractions:
63/105 + 60/105 = 63 + 60/105 = 123/105 - 123/105 simplified gives 41/35
- So, 3/5 + 12/21 = 41/35
In mixed form: 16/35
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