Add 49/98 and 27/40
49/98 + 27/40 is 47/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 98 × 20 = 1960,
49/98 = 49 × 20/98 × 20 = 980/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
27/40 = 27 × 49/40 × 49 = 1323/1960 - Add the two like fractions:
980/1960 + 1323/1960 = 980 + 1323/1960 = 2303/1960 - 2303/1960 simplified gives 47/40
- So, 49/98 + 27/40 = 47/40
In mixed form: 17/40
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