Add 30/49 and 14/24
30/49 + 14/24 is 703/588.
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,
30/49 = 30 × 24/49 × 24 = 720/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
14/24 = 14 × 49/24 × 49 = 686/1176 - Add the two like fractions:
720/1176 + 686/1176 = 720 + 686/1176 = 1406/1176 - 1406/1176 simplified gives 703/588
- So, 30/49 + 14/24 = 703/588
In mixed form: 1115/588
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