Add 8/49 and 81/30
1st number: 8/49, 2nd number: 2 21/30
8/49 + 81/30 is 1403/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 49 × 30 = 1470,
8/49 = 8 × 30/49 × 30 = 240/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
81/30 = 81 × 49/30 × 49 = 3969/1470 - Add the two like fractions:
240/1470 + 3969/1470 = 240 + 3969/1470 = 4209/1470 - 4209/1470 simplified gives 1403/490
- So, 8/49 + 81/30 = 1403/490
In mixed form: 2423/490
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