Add 30/24 and 96/49
1st number: 1 6/24, 2nd number: 1 47/49
30/24 + 96/49 is 629/196.
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,
30/24 = 30 × 49/24 × 49 = 1470/1176 - Likewise, for the 2nd fraction, since 49 × 24 = 1176,
96/49 = 96 × 24/49 × 24 = 2304/1176 - Add the two like fractions:
1470/1176 + 2304/1176 = 1470 + 2304/1176 = 3774/1176 - 3774/1176 simplified gives 629/196
- So, 30/24 + 96/49 = 629/196
In mixed form: 341/196
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