Add 75/98 and 27/30
75/98 + 27/30 is 408/245.
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,
75/98 = 75 × 15/98 × 15 = 1125/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
27/30 = 27 × 49/30 × 49 = 1323/1470 - Add the two like fractions:
1125/1470 + 1323/1470 = 1125 + 1323/1470 = 2448/1470 - 2448/1470 simplified gives 408/245
- So, 75/98 + 27/30 = 408/245
In mixed form: 1163/245
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