Add 27/98 and 75/30
1st number: 27/98, 2nd number: 2 15/30
27/98 + 75/30 is 136/49.
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,
75/30 = 75 × 49/30 × 49 = 3675/1470 - Add the two like fractions:
405/1470 + 3675/1470 = 405 + 3675/1470 = 4080/1470 - 4080/1470 simplified gives 136/49
- So, 27/98 + 75/30 = 136/49
In mixed form: 238/49
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