Add 35/18 and 63/42, Solve 1 17/18 + 1 21/42 as a fraction

Add 35/18 and 63/42

1^st number: 1 17/18, 2^nd number: 1 21/42

35/18 + 63/42 is 31/9.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 42 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
35/18 = 35 × 7/18 × 7 = 245/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
63/42 = 63 × 3/42 × 3 = 189/126
Add the two like fractions:
245/126 + 189/126 = 245 + 189/126 = 434/126
434/126 simplified gives 31/9
So, 35/18 + 63/42 = 31/9
In mixed form: 34/9

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