Add 14/48 and 45/49
14/48 + 45/49 is 1423/1176.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 49 is 2352
Next, find the equivalent fraction of both fractional numbers with denominator 2352 - For the 1st fraction, since 48 × 49 = 2352,
14/48 = 14 × 49/48 × 49 = 686/2352 - Likewise, for the 2nd fraction, since 49 × 48 = 2352,
45/49 = 45 × 48/49 × 48 = 2160/2352 - Add the two like fractions:
686/2352 + 2160/2352 = 686 + 2160/2352 = 2846/2352 - 2846/2352 simplified gives 1423/1176
- So, 14/48 + 45/49 = 1423/1176
In mixed form: 1247/1176
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