Add 28/35 and 9/16
28/35 + 9/16 is 109/80.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 16 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 35 × 16 = 560,
28/35 = 28 × 16/35 × 16 = 448/560 - Likewise, for the 2nd fraction, since 16 × 35 = 560,
9/16 = 9 × 35/16 × 35 = 315/560 - Add the two like fractions:
448/560 + 315/560 = 448 + 315/560 = 763/560 - 763/560 simplified gives 109/80
- So, 28/35 + 9/16 = 109/80
In mixed form: 129/80
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