Add 35/49 and 14/24
35/49 + 14/24 is 109/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 24 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 49 × 24 = 1176,
35/49 = 35 × 24/49 × 24 = 840/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
14/24 = 14 × 49/24 × 49 = 686/1176 - Add the two like fractions:
840/1176 + 686/1176 = 840 + 686/1176 = 1526/1176 - 1526/1176 simplified gives 109/84
- So, 35/49 + 14/24 = 109/84
In mixed form: 125/84
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