Add 36/42 and 9/49
36/42 + 9/49 is 51/49.
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,
36/42 = 36 × 7/42 × 7 = 252/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
9/49 = 9 × 6/49 × 6 = 54/294 - Add the two like fractions:
252/294 + 54/294 = 252 + 54/294 = 306/294 - 306/294 simplified gives 51/49
- So, 36/42 + 9/49 = 51/49
In mixed form: 12/49
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