Add 21/16 and 40/9
1st number: 1 5/16, 2nd number: 4 4/9
21/16 + 40/9 is 829/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
21/16 = 21 × 9/16 × 9 = 189/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
40/9 = 40 × 16/9 × 16 = 640/144 - Add the two like fractions:
189/144 + 640/144 = 189 + 640/144 = 829/144 - So, 21/16 + 40/9 = 829/144
In mixed form: 5109/144
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