Add 35/14 and 35/18, Solve 2 7/14 + 1 17/18 as a fraction

Add 35/14 and 35/18

1^st number: 2 7/14, 2^nd number: 1 17/18

35/14 + 35/18 is 40/9.

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,
35/18 = 35 × 7/18 × 7 = 245/126
Add the two like fractions:
315/126 + 245/126 = 315 + 245/126 = 560/126
560/126 simplified gives 40/9
So, 35/14 + 35/18 = 40/9
In mixed form: 44/9

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