Add 9/35 and 14/16
9/35 + 14/16 is 317/280.
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,
9/35 = 9 × 16/35 × 16 = 144/560 - Likewise, for the 2nd fraction, since 16 × 35 = 560,
14/16 = 14 × 35/16 × 35 = 490/560 - Add the two like fractions:
144/560 + 490/560 = 144 + 490/560 = 634/560 - 634/560 simplified gives 317/280
- So, 9/35 + 14/16 = 317/280
In mixed form: 137/280
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