Add 40/9 and 63/49, Solve 4 4/9 + 1 14/49 as a fraction

Add 40/9 and 63/49

1^st number: 4 4/9, 2^nd number: 1 14/49

40/9 + 63/49 is 361/63.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 49 is 441

Next, find the equivalent fraction of both fractional numbers with denominator 441
For the 1st fraction, since 9 × 49 = 441,
40/9 = 40 × 49/9 × 49 = 1960/441
Likewise, for the 2nd fraction, since 49 × 9 = 441,
63/49 = 63 × 9/49 × 9 = 567/441
Add the two like fractions:
1960/441 + 567/441 = 1960 + 567/441 = 2527/441
2527/441 simplified gives 361/63
So, 40/9 + 63/49 = 361/63
In mixed form: 546/63

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