Add 2/5 and 18/21
2/5 + 18/21 is 44/35.
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,
2/5 = 2 × 21/5 × 21 = 42/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
18/21 = 18 × 5/21 × 5 = 90/105 - Add the two like fractions:
42/105 + 90/105 = 42 + 90/105 = 132/105 - 132/105 simplified gives 44/35
- So, 2/5 + 18/21 = 44/35
In mixed form: 19/35
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