Add 16/9 and 28/21
1st number: 1 7/9, 2nd number: 1 7/21
16/9 + 28/21 is 28/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 21 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
16/9 = 16 × 7/9 × 7 = 112/63 - Likewise, for the 2nd fraction, since 21 × 3 = 63,
28/21 = 28 × 3/21 × 3 = 84/63 - Add the two like fractions:
112/63 + 84/63 = 112 + 84/63 = 196/63 - 196/63 simplified gives 28/9
- So, 16/9 + 28/21 = 28/9
In mixed form: 31/9
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