Add 8/49 and 75/27
1st number: 8/49, 2nd number: 2 21/27
8/49 + 75/27 is 1297/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
8/49 = 8 × 27/49 × 27 = 216/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
75/27 = 75 × 49/27 × 49 = 3675/1323 - Add the two like fractions:
216/1323 + 3675/1323 = 216 + 3675/1323 = 3891/1323 - 3891/1323 simplified gives 1297/441
- So, 8/49 + 75/27 = 1297/441
In mixed form: 2415/441
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