Add 84/98 and 7/40
84/98 + 7/40 is 289/280.
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,
84/98 = 84 × 20/98 × 20 = 1680/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
7/40 = 7 × 49/40 × 49 = 343/1960 - Add the two like fractions:
1680/1960 + 343/1960 = 1680 + 343/1960 = 2023/1960 - 2023/1960 simplified gives 289/280
- So, 84/98 + 7/40 = 289/280
In mixed form: 19/280
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