Add 30/98 and 21/24
30/98 + 21/24 is 463/392.
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,
30/98 = 30 × 12/98 × 12 = 360/1176 - Likewise, for the 2nd fraction, since 24 × 49 = 1176,
21/24 = 21 × 49/24 × 49 = 1029/1176 - Add the two like fractions:
360/1176 + 1029/1176 = 360 + 1029/1176 = 1389/1176 - 1389/1176 simplified gives 463/392
- So, 30/98 + 21/24 = 463/392
In mixed form: 171/392
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