Add 9/98 and 75/27, Solve 9/98 + 2 21/27 as a fraction

Add 9/98 and 75/27

1^st number: 9/98, 2^nd number: 2 21/27

9/98 + 75/27 is 2531/882.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 27 is 2646

Next, find the equivalent fraction of both fractional numbers with denominator 2646
For the 1st fraction, since 98 × 27 = 2646,
9/98 = 9 × 27/98 × 27 = 243/2646
Likewise, for the 2nd fraction, since 27 × 98 = 2646,
75/27 = 75 × 98/27 × 98 = 7350/2646
Add the two like fractions:
243/2646 + 7350/2646 = 243 + 7350/2646 = 7593/2646
7593/2646 simplified gives 2531/882
So, 9/98 + 75/27 = 2531/882
In mixed form: 2767/882

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