Add 49/98 and 45/50
49/98 + 45/50 is 7/5.
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,
49/98 = 49 × 25/98 × 25 = 1225/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
45/50 = 45 × 49/50 × 49 = 2205/2450 - Add the two like fractions:
1225/2450 + 2205/2450 = 1225 + 2205/2450 = 3430/2450 - 3430/2450 simplified gives 7/5
- So, 49/98 + 45/50 = 7/5
In mixed form: 12/5
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