Add 98/42 and 30/27, Solve 2 14/42 + 1 3/27 as a fraction

Add 98/42 and 30/27

1^st number: 2 14/42, 2^nd number: 1 3/27

98/42 + 30/27 is 31/9.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
98/42 = 98 × 9/42 × 9 = 882/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
30/27 = 30 × 14/27 × 14 = 420/378
Add the two like fractions:
882/378 + 420/378 = 882 + 420/378 = 1302/378
1302/378 simplified gives 31/9
So, 98/42 + 30/27 = 31/9
In mixed form: 34/9

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