Add 48/27 and 72/49
1st number: 1 21/27, 2nd number: 1 23/49
48/27 + 72/49 is 1432/441.
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,
48/27 = 48 × 49/27 × 49 = 2352/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
72/49 = 72 × 27/49 × 27 = 1944/1323 - Add the two like fractions:
2352/1323 + 1944/1323 = 2352 + 1944/1323 = 4296/1323 - 4296/1323 simplified gives 1432/441
- So, 48/27 + 72/49 = 1432/441
In mixed form: 3109/441
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