Add 27/98 and 36/32, Solve 27/98 + 1 4/32 as a fraction

Add 27/98 and 36/32

1^st number: 27/98, 2^nd number: 1 4/32

27/98 + 36/32 is 549/392.

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,
27/98 = 27 × 16/98 × 16 = 432/1568
Likewise, for the 2nd fraction, since 32 × 49 = 1568,
36/32 = 36 × 49/32 × 49 = 1764/1568
Add the two like fractions:
432/1568 + 1764/1568 = 432 + 1764/1568 = 2196/1568
2196/1568 simplified gives 549/392
So, 27/98 + 36/32 = 549/392
In mixed form: 1157/392

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