Add 40/54 and 40/21, Solve 40/54 + 1 19/21 as a fraction

Add 40/54 and 40/21

1^st number: 40/54, 2^nd number: 1 19/21

40/54 + 40/21 is 500/189.

Find the least common denominator or LCM of the two denominators:
LCM of 54 and 21 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 54 × 7 = 378,
40/54 = 40 × 7/54 × 7 = 280/378
Likewise, for the 2nd fraction, since 21 × 18 = 378,
40/21 = 40 × 18/21 × 18 = 720/378
Add the two like fractions:
280/378 + 720/378 = 280 + 720/378 = 1000/378
1000/378 simplified gives 500/189
So, 40/54 + 40/21 = 500/189
In mixed form: 2122/189

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