Add 14/49 and 48/50
14/49 + 48/50 is 218/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 50 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 49 × 50 = 2450,
14/49 = 14 × 50/49 × 50 = 700/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
48/50 = 48 × 49/50 × 49 = 2352/2450 - Add the two like fractions:
700/2450 + 2352/2450 = 700 + 2352/2450 = 3052/2450 - 3052/2450 simplified gives 218/175
- So, 14/49 + 48/50 = 218/175
In mixed form: 143/175
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