Add 9/98 and 98/40
1st number: 9/98, 2nd number: 2 18/40
9/98 + 98/40 is 2491/980.
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,
9/98 = 9 × 20/98 × 20 = 180/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
98/40 = 98 × 49/40 × 49 = 4802/1960 - Add the two like fractions:
180/1960 + 4802/1960 = 180 + 4802/1960 = 4982/1960 - 4982/1960 simplified gives 2491/980
- So, 9/98 + 98/40 = 2491/980
In mixed form: 2531/980
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