Add 9/18 and 40/21, Solve 9/18 + 1 19/21 as a fraction

Add 9/18 and 40/21

1^st number: 9/18, 2^nd number: 1 19/21

9/18 + 40/21 is 101/42.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
9/18 = 9 × 7/18 × 7 = 63/126
Likewise, for the 2nd fraction, since 21 × 6 = 126,
40/21 = 40 × 6/21 × 6 = 240/126
Add the two like fractions:
63/126 + 240/126 = 63 + 240/126 = 303/126
303/126 simplified gives 101/42
So, 9/18 + 40/21 = 101/42
In mixed form: 217/42

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