Add 10/98 and 30/36
10/98 + 30/36 is 275/294.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 36 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 98 × 18 = 1764,
10/98 = 10 × 18/98 × 18 = 180/1764 - Likewise, for the 2nd fraction, since 36 × 49 = 1764,
30/36 = 30 × 49/36 × 49 = 1470/1764 - Add the two like fractions:
180/1764 + 1470/1764 = 180 + 1470/1764 = 1650/1764 - 1650/1764 simplified gives 275/294
- So, 10/98 + 30/36 = 275/294
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