Add 40/98 and 20/24
40/98 + 20/24 is 365/294.
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,
40/98 = 40 × 12/98 × 12 = 480/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
20/24 = 20 × 49/24 × 49 = 980/1176 - Add the two like fractions:
480/1176 + 980/1176 = 480 + 980/1176 = 1460/1176 - 1460/1176 simplified gives 365/294
- So, 40/98 + 20/24 = 365/294
In mixed form: 171/294
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