Add 14/24 and 36/49
14/24 + 36/49 is 775/588.
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,
36/49 = 36 × 24/49 × 24 = 864/1176 - Add the two like fractions:
686/1176 + 864/1176 = 686 + 864/1176 = 1550/1176 - 1550/1176 simplified gives 775/588
- So, 14/24 + 36/49 = 775/588
In mixed form: 1187/588
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