Add 9/49 and 14/32
9/49 + 14/32 is 487/784.
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,
9/49 = 9 × 32/49 × 32 = 288/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
14/32 = 14 × 49/32 × 49 = 686/1568 - Add the two like fractions:
288/1568 + 686/1568 = 288 + 686/1568 = 974/1568 - 974/1568 simplified gives 487/784
- So, 9/49 + 14/32 = 487/784
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