Add 35/14 and 36/18, Solve 2 7/14 + 2 0/18 as a fraction

Add 35/14 and 36/18

1^st number: 2 7/14, 2^nd number: 2 0/18

35/14 + 36/18 is 9/2.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 18 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
35/14 = 35 × 9/14 × 9 = 315/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
36/18 = 36 × 7/18 × 7 = 252/126
Add the two like fractions:
315/126 + 252/126 = 315 + 252/126 = 567/126
567/126 simplified gives 9/2
So, 35/14 + 36/18 = 9/2
In mixed form: 41/2

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