Add 54/40 and 84/98
1st number: 1 14/40, 2nd number: 84/98
54/40 + 84/98 is 309/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 98 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
54/40 = 54 × 49/40 × 49 = 2646/1960 - Likewise, for the 2nd fraction, since 98 × 20 = 1960,
84/98 = 84 × 20/98 × 20 = 1680/1960 - Add the two like fractions:
2646/1960 + 1680/1960 = 2646 + 1680/1960 = 4326/1960 - 4326/1960 simplified gives 309/140
- So, 54/40 + 84/98 = 309/140
In mixed form: 229/140
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