Add 45/16 and 36/9
1st number: 2 13/16, 2nd number: 4 0/9
45/16 + 36/9 is 109/16.
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,
45/16 = 45 × 9/16 × 9 = 405/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
36/9 = 36 × 16/9 × 16 = 576/144 - Add the two like fractions:
405/144 + 576/144 = 405 + 576/144 = 981/144 - 981/144 simplified gives 109/16
- So, 45/16 + 36/9 = 109/16
In mixed form: 613/16
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