Add 30/35 and 21/98
30/35 + 21/98 is 15/14.
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,
30/35 = 30 × 14/35 × 14 = 420/490 - Likewise, for the 2nd fraction, since 98 × 5 = 490,
21/98 = 21 × 5/98 × 5 = 105/490 - Add the two like fractions:
420/490 + 105/490 = 420 + 105/490 = 525/490 - 525/490 simplified gives 15/14
- So, 30/35 + 21/98 = 15/14
In mixed form: 11/14
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