Add 14/49 and 9/32
14/49 + 9/32 is 127/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 49 × 32 = 1568,
14/49 = 14 × 32/49 × 32 = 448/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
9/32 = 9 × 49/32 × 49 = 441/1568 - Add the two like fractions:
448/1568 + 441/1568 = 448 + 441/1568 = 889/1568 - 889/1568 simplified gives 127/224
- So, 14/49 + 9/32 = 127/224
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