Add 14/30 and 54/98
14/30 + 54/98 is 748/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 98 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
14/30 = 14 × 49/30 × 49 = 686/1470 - Likewise, for the 2nd fraction, since 98 × 15 = 1470,
54/98 = 54 × 15/98 × 15 = 810/1470 - Add the two like fractions:
686/1470 + 810/1470 = 686 + 810/1470 = 1496/1470 - 1496/1470 simplified gives 748/735
- So, 14/30 + 54/98 = 748/735
In mixed form: 113/735
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