Add 9/49 and 75/27
1st number: 9/49, 2nd number: 2 21/27
9/49 + 75/27 is 1306/441.
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,
9/49 = 9 × 27/49 × 27 = 243/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
75/27 = 75 × 49/27 × 49 = 3675/1323 - Add the two like fractions:
243/1323 + 3675/1323 = 243 + 3675/1323 = 3918/1323 - 3918/1323 simplified gives 1306/441
- So, 9/49 + 75/27 = 1306/441
In mixed form: 2424/441
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