Add 30/24 and 72/49
1st number: 1 6/24, 2nd number: 1 23/49
30/24 + 72/49 is 533/196.
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,
72/49 = 72 × 24/49 × 24 = 1728/1176 - Add the two like fractions:
1470/1176 + 1728/1176 = 1470 + 1728/1176 = 3198/1176 - 3198/1176 simplified gives 533/196
- So, 30/24 + 72/49 = 533/196
In mixed form: 2141/196
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