Add 14/5 and 49/21
1st number: 2 4/5, 2nd number: 2 7/21
14/5 + 49/21 is 77/15.
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,
14/5 = 14 × 21/5 × 21 = 294/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
49/21 = 49 × 5/21 × 5 = 245/105 - Add the two like fractions:
294/105 + 245/105 = 294 + 245/105 = 539/105 - 539/105 simplified gives 77/15
- So, 14/5 + 49/21 = 77/15
In mixed form: 52/15
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