Add 49/21 and 10/9
1st number: 2 7/21, 2nd number: 1 1/9
49/21 + 10/9 is 31/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 21 × 3 = 63,
49/21 = 49 × 3/21 × 3 = 147/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
10/9 = 10 × 7/9 × 7 = 70/63 - Add the two like fractions:
147/63 + 70/63 = 147 + 70/63 = 217/63 - 217/63 simplified gives 31/9
- So, 49/21 + 10/9 = 31/9
In mixed form: 34/9
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