Add 49/98 and 42/90
49/98 + 42/90 is 29/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 90 is 4410
Next, find the equivalent fraction of both fractional numbers with denominator 4410 - For the 1st fraction, since 98 × 45 = 4410,
49/98 = 49 × 45/98 × 45 = 2205/4410 - Likewise, for the 2nd fraction, since 90 × 49 = 4410,
42/90 = 42 × 49/90 × 49 = 2058/4410 - Add the two like fractions:
2205/4410 + 2058/4410 = 2205 + 2058/4410 = 4263/4410 - 4263/4410 simplified gives 29/30
- So, 49/98 + 42/90 = 29/30
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