Add 21/98 and 40/30
1st number: 21/98, 2nd number: 1 10/30
21/98 + 40/30 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 98 × 15 = 1470,
21/98 = 21 × 15/98 × 15 = 315/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
40/30 = 40 × 49/30 × 49 = 1960/1470 - Add the two like fractions:
315/1470 + 1960/1470 = 315 + 1960/1470 = 2275/1470 - 2275/1470 simplified gives 65/42
- So, 21/98 + 40/30 = 65/42
In mixed form: 123/42
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