Add 49/50 and 21/98
49/50 + 21/98 is 209/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 98 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 50 × 49 = 2450,
49/50 = 49 × 49/50 × 49 = 2401/2450 - Likewise, for the 2nd fraction, since 98 × 25 = 2450,
21/98 = 21 × 25/98 × 25 = 525/2450 - Add the two like fractions:
2401/2450 + 525/2450 = 2401 + 525/2450 = 2926/2450 - 2926/2450 simplified gives 209/175
- So, 49/50 + 21/98 = 209/175
In mixed form: 134/175
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