Add 49/21 and 40/18, Solve 2 7/21 + 2 4/18 as a fraction

Add 49/21 and 40/18

1^st number: 2 7/21, 2^nd number: 2 4/18

49/21 + 40/18 is 41/9.

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

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 21 × 6 = 126,
49/21 = 49 × 6/21 × 6 = 294/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
40/18 = 40 × 7/18 × 7 = 280/126
Add the two like fractions:
294/126 + 280/126 = 294 + 280/126 = 574/126
574/126 simplified gives 41/9
So, 49/21 + 40/18 = 41/9
In mixed form: 45/9

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