Add 30/50 and 14/49
30/50 + 14/49 is 31/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 49 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 50 × 49 = 2450,
30/50 = 30 × 49/50 × 49 = 1470/2450 - Likewise, for the 2nd fraction, since 49 × 50 = 2450,
14/49 = 14 × 50/49 × 50 = 700/2450 - Add the two like fractions:
1470/2450 + 700/2450 = 1470 + 700/2450 = 2170/2450 - 2170/2450 simplified gives 31/35
- So, 30/50 + 14/49 = 31/35
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