Add 4/15 and 16/21
4/15 + 16/21 is 36/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
4/15 = 4 × 7/15 × 7 = 28/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
16/21 = 16 × 5/21 × 5 = 80/105 - Add the two like fractions:
28/105 + 80/105 = 28 + 80/105 = 108/105 - 108/105 simplified gives 36/35
- So, 4/15 + 16/21 = 36/35
In mixed form: 11/35
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