Add 27/98 and 40/30
1st number: 27/98, 2nd number: 1 10/30
27/98 + 40/30 is 473/294.
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,
27/98 = 27 × 15/98 × 15 = 405/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
40/30 = 40 × 49/30 × 49 = 1960/1470 - Add the two like fractions:
405/1470 + 1960/1470 = 405 + 1960/1470 = 2365/1470 - 2365/1470 simplified gives 473/294
- So, 27/98 + 40/30 = 473/294
In mixed form: 1179/294
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