Add 49/98 and 30/32
49/98 + 30/32 is 23/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 98 × 16 = 1568,
49/98 = 49 × 16/98 × 16 = 784/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
30/32 = 30 × 49/32 × 49 = 1470/1568 - Add the two like fractions:
784/1568 + 1470/1568 = 784 + 1470/1568 = 2254/1568 - 2254/1568 simplified gives 23/16
- So, 49/98 + 30/32 = 23/16
In mixed form: 17/16
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