Add 14/15 and 14/49
14/15 + 14/49 is 128/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 49 is 735
Next, find the equivalent fraction of both fractional numbers with denominator 735 - For the 1st fraction, since 15 × 49 = 735,
14/15 = 14 × 49/15 × 49 = 686/735 - Likewise, for the 2nd fraction, since 49 × 15 = 735,
14/49 = 14 × 15/49 × 15 = 210/735 - Add the two like fractions:
686/735 + 210/735 = 686 + 210/735 = 896/735 - 896/735 simplified gives 128/105
- So, 14/15 + 14/49 = 128/105
In mixed form: 123/105
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