Add 42/98 and 20/24
42/98 + 20/24 is 53/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 24 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 98 × 12 = 1176,
42/98 = 42 × 12/98 × 12 = 504/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
20/24 = 20 × 49/24 × 49 = 980/1176 - Add the two like fractions:
504/1176 + 980/1176 = 504 + 980/1176 = 1484/1176 - 1484/1176 simplified gives 53/42
- So, 42/98 + 20/24 = 53/42
In mixed form: 111/42
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