Add 14/24 and 27/49
14/24 + 27/49 is 667/588.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 49 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 24 × 49 = 1176,
14/24 = 14 × 49/24 × 49 = 686/1176 - Likewise, for the 2nd fraction, since 49 × 24 = 1176,
27/49 = 27 × 24/49 × 24 = 648/1176 - Add the two like fractions:
686/1176 + 648/1176 = 686 + 648/1176 = 1334/1176 - 1334/1176 simplified gives 667/588
- So, 14/24 + 27/49 = 667/588
In mixed form: 179/588
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