Add 28/49 and 81/32
1st number: 28/49, 2nd number: 2 17/32
28/49 + 81/32 is 695/224.
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,
28/49 = 28 × 32/49 × 32 = 896/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
81/32 = 81 × 49/32 × 49 = 3969/1568 - Add the two like fractions:
896/1568 + 3969/1568 = 896 + 3969/1568 = 4865/1568 - 4865/1568 simplified gives 695/224
- So, 28/49 + 81/32 = 695/224
In mixed form: 323/224
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