Add 28/30 and 4/49
28/30 + 4/49 is 746/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
28/30 = 28 × 49/30 × 49 = 1372/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
4/49 = 4 × 30/49 × 30 = 120/1470 - Add the two like fractions:
1372/1470 + 120/1470 = 1372 + 120/1470 = 1492/1470 - 1492/1470 simplified gives 746/735
- So, 28/30 + 4/49 = 746/735
In mixed form: 111/735
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