Add 8/21 and 14/15
8/21 + 14/15 is 46/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 15 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
8/21 = 8 × 5/21 × 5 = 40/105 - Likewise, for the 2nd fraction, since 15 × 7 = 105,
14/15 = 14 × 7/15 × 7 = 98/105 - Add the two like fractions:
40/105 + 98/105 = 40 + 98/105 = 138/105 - 138/105 simplified gives 46/35
- So, 8/21 + 14/15 = 46/35
In mixed form: 111/35
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