Add 9/42 and 40/49
9/42 + 40/49 is 101/98.
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,
9/42 = 9 × 7/42 × 7 = 63/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
40/49 = 40 × 6/49 × 6 = 240/294 - Add the two like fractions:
63/294 + 240/294 = 63 + 240/294 = 303/294 - 303/294 simplified gives 101/98
- So, 9/42 + 40/49 = 101/98
In mixed form: 13/98
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