Add 49/98 and 40/90
49/98 + 40/90 is 17/18.
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,
40/90 = 40 × 49/90 × 49 = 1960/4410 - Add the two like fractions:
2205/4410 + 1960/4410 = 2205 + 1960/4410 = 4165/4410 - 4165/4410 simplified gives 17/18
- So, 49/98 + 40/90 = 17/18
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