Add 4/30 and 45/49
4/30 + 45/49 is 773/735.
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,
4/30 = 4 × 49/30 × 49 = 196/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
45/49 = 45 × 30/49 × 30 = 1350/1470 - Add the two like fractions:
196/1470 + 1350/1470 = 196 + 1350/1470 = 1546/1470 - 1546/1470 simplified gives 773/735
- So, 4/30 + 45/49 = 773/735
In mixed form: 138/735
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