Add 21/49 and 49/50
21/49 + 49/50 is 493/350.
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,
21/49 = 21 × 50/49 × 50 = 1050/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
49/50 = 49 × 49/50 × 49 = 2401/2450 - Add the two like fractions:
1050/2450 + 2401/2450 = 1050 + 2401/2450 = 3451/2450 - 3451/2450 simplified gives 493/350
- So, 21/49 + 49/50 = 493/350
In mixed form: 1143/350
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