Add 75/27 and 7/98, Solve 2 21/27 + 7/98 as a fraction

Add 75/27 and 7/98

1^st number: 2 21/27, 2^nd number: 7/98

75/27 + 7/98 is 359/126.

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

Next, find the equivalent fraction of both fractional numbers with denominator 2646
For the 1st fraction, since 27 × 98 = 2646,
75/27 = 75 × 98/27 × 98 = 7350/2646
Likewise, for the 2nd fraction, since 98 × 27 = 2646,
7/98 = 7 × 27/98 × 27 = 189/2646
Add the two like fractions:
7350/2646 + 189/2646 = 7350 + 189/2646 = 7539/2646
7539/2646 simplified gives 359/126
So, 75/27 + 7/98 = 359/126
In mixed form: 2107/126

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