Add 40/27 and 4/98
1st number: 1 13/27, 2nd number: 4/98
40/27 + 4/98 is 2014/1323.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 98 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 27 × 98 = 2646,
40/27 = 40 × 98/27 × 98 = 3920/2646 - Likewise, for the 2nd fraction, since 98 × 27 = 2646,
4/98 = 4 × 27/98 × 27 = 108/2646 - Add the two like fractions:
3920/2646 + 108/2646 = 3920 + 108/2646 = 4028/2646 - 4028/2646 simplified gives 2014/1323
- So, 40/27 + 4/98 = 2014/1323
In mixed form: 1691/1323
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