Add 9/4 and 35/49
1st number: 2 1/4, 2nd number: 35/49
9/4 + 35/49 is 83/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
9/4 = 9 × 49/4 × 49 = 441/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
35/49 = 35 × 4/49 × 4 = 140/196 - Add the two like fractions:
441/196 + 140/196 = 441 + 140/196 = 581/196 - 581/196 simplified gives 83/28
- So, 9/4 + 35/49 = 83/28
In mixed form: 227/28
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