Add 27/35 and 30/98
27/35 + 30/98 is 264/245.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 98 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 35 × 14 = 490,
27/35 = 27 × 14/35 × 14 = 378/490 - Likewise, for the 2nd fraction, since 98 × 5 = 490,
30/98 = 30 × 5/98 × 5 = 150/490 - Add the two like fractions:
378/490 + 150/490 = 378 + 150/490 = 528/490 - 528/490 simplified gives 264/245
- So, 27/35 + 30/98 = 264/245
In mixed form: 119/245
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