Add 9/49 and 27/96
9/49 + 27/96 is 729/1568.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 96 is 4704
Next, find the equivalent fraction of both fractional numbers with denominator 4704 - For the 1st fraction, since 49 × 96 = 4704,
9/49 = 9 × 96/49 × 96 = 864/4704 - Likewise, for the 2nd fraction, since 96 × 49 = 4704,
27/96 = 27 × 49/96 × 49 = 1323/4704 - Add the two like fractions:
864/4704 + 1323/4704 = 864 + 1323/4704 = 2187/4704 - 2187/4704 simplified gives 729/1568
- So, 9/49 + 27/96 = 729/1568
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