Add 15/42 and 14/49
15/42 + 14/49 is 9/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
15/42 = 15 × 7/42 × 7 = 105/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
14/49 = 14 × 6/49 × 6 = 84/294 - Add the two like fractions:
105/294 + 84/294 = 105 + 84/294 = 189/294 - 189/294 simplified gives 9/14
- So, 15/42 + 14/49 = 9/14
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