Add 1/98 and 42/40
1st number: 1/98, 2nd number: 1 2/40
1/98 + 42/40 is 1039/980.
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,
1/98 = 1 × 20/98 × 20 = 20/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
42/40 = 42 × 49/40 × 49 = 2058/1960 - Add the two like fractions:
20/1960 + 2058/1960 = 20 + 2058/1960 = 2078/1960 - 2078/1960 simplified gives 1039/980
- So, 1/98 + 42/40 = 1039/980
In mixed form: 159/980
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