Add 45/98 and 21/42
45/98 + 21/42 is 47/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 42 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 98 × 3 = 294,
45/98 = 45 × 3/98 × 3 = 135/294 - Likewise, for the 2nd fraction, since 42 × 7 = 294,
21/42 = 21 × 7/42 × 7 = 147/294 - Add the two like fractions:
135/294 + 147/294 = 135 + 147/294 = 282/294 - 282/294 simplified gives 47/49
- So, 45/98 + 21/42 = 47/49
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