Add 10/16 and 8/9
10/16 + 8/9 is 109/72.
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,
10/16 = 10 × 9/16 × 9 = 90/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
8/9 = 8 × 16/9 × 16 = 128/144 - Add the two like fractions:
90/144 + 128/144 = 90 + 128/144 = 218/144 - 218/144 simplified gives 109/72
- So, 10/16 + 8/9 = 109/72
In mixed form: 137/72
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