Add 8/3 and 14/35
1st number: 2 2/3, 2nd number: 14/35
8/3 + 14/35 is 46/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 3 × 35 = 105,
8/3 = 8 × 35/3 × 35 = 280/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
14/35 = 14 × 3/35 × 3 = 42/105 - Add the two like fractions:
280/105 + 42/105 = 280 + 42/105 = 322/105 - 322/105 simplified gives 46/15
- So, 8/3 + 14/35 = 46/15
In mixed form: 31/15
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