Add 40/42 and 63/98
40/42 + 63/98 is 67/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 98 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
40/42 = 40 × 7/42 × 7 = 280/294 - Likewise, for the 2nd fraction, since 98 × 3 = 294,
63/98 = 63 × 3/98 × 3 = 189/294 - Add the two like fractions:
280/294 + 189/294 = 280 + 189/294 = 469/294 - 469/294 simplified gives 67/42
- So, 40/42 + 63/98 = 67/42
In mixed form: 125/42
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