Add 21/30 and 40/98
21/30 + 40/98 is 543/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 98 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
21/30 = 21 × 49/30 × 49 = 1029/1470 - Likewise, for the 2nd fraction, since 98 × 15 = 1470,
40/98 = 40 × 15/98 × 15 = 600/1470 - Add the two like fractions:
1029/1470 + 600/1470 = 1029 + 600/1470 = 1629/1470 - 1629/1470 simplified gives 543/490
- So, 21/30 + 40/98 = 543/490
In mixed form: 153/490
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