Add 21/24 and 54/49
1st number: 21/24, 2nd number: 1 5/49
21/24 + 54/49 is 775/392.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 49 is 1176
Next, find the equivalent fraction of both fractional numbers with denominator 1176 - For the 1st fraction, since 24 × 49 = 1176,
21/24 = 21 × 49/24 × 49 = 1029/1176 - Likewise, for the 2nd fraction, since 49 × 24 = 1176,
54/49 = 54 × 24/49 × 24 = 1296/1176 - Add the two like fractions:
1029/1176 + 1296/1176 = 1029 + 1296/1176 = 2325/1176 - 2325/1176 simplified gives 775/392
- So, 21/24 + 54/49 = 775/392
In mixed form: 1383/392
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