Add 28/49 and 49/96
28/49 + 49/96 is 727/672.
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,
28/49 = 28 × 96/49 × 96 = 2688/4704 - Likewise, for the 2nd fraction, since 96 × 49 = 4704,
49/96 = 49 × 49/96 × 49 = 2401/4704 - Add the two like fractions:
2688/4704 + 2401/4704 = 2688 + 2401/4704 = 5089/4704 - 5089/4704 simplified gives 727/672
- So, 28/49 + 49/96 = 727/672
In mixed form: 155/672
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