Add 24/27 and 96/49
1st number: 24/27, 2nd number: 1 47/49
24/27 + 96/49 is 1256/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
24/27 = 24 × 49/27 × 49 = 1176/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
96/49 = 96 × 27/49 × 27 = 2592/1323 - Add the two like fractions:
1176/1323 + 2592/1323 = 1176 + 2592/1323 = 3768/1323 - 3768/1323 simplified gives 1256/441
- So, 24/27 + 96/49 = 1256/441
In mixed form: 2374/441
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