Add 21/98 and 45/50
21/98 + 45/50 is 39/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 50 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 98 × 25 = 2450,
21/98 = 21 × 25/98 × 25 = 525/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
45/50 = 45 × 49/50 × 49 = 2205/2450 - Add the two like fractions:
525/2450 + 2205/2450 = 525 + 2205/2450 = 2730/2450 - 2730/2450 simplified gives 39/35
- So, 21/98 + 45/50 = 39/35
In mixed form: 14/35
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