Add 28/18 and 49/21
1st number: 1 10/18, 2nd number: 2 7/21
28/18 + 49/21 is 35/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
28/18 = 28 × 7/18 × 7 = 196/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
49/21 = 49 × 6/21 × 6 = 294/126 - Add the two like fractions:
196/126 + 294/126 = 196 + 294/126 = 490/126 - 490/126 simplified gives 35/9
- So, 28/18 + 49/21 = 35/9
In mixed form: 38/9
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