Add 3/7 and 42/9, Solve 3/7 + 4 6/9 as a fraction

Add 3/7 and 42/9

1^st number: 3/7, 2^nd number: 4 6/9

3/7 + 42/9 is 107/21.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 9 is 63

Next, find the equivalent fraction of both fractional numbers with denominator 63
For the 1st fraction, since 7 × 9 = 63,
3/7 = 3 × 9/7 × 9 = 27/63
Likewise, for the 2nd fraction, since 9 × 7 = 63,
42/9 = 42 × 7/9 × 7 = 294/63
Add the two like fractions:
27/63 + 294/63 = 27 + 294/63 = 321/63
321/63 simplified gives 107/21
So, 3/7 + 42/9 = 107/21
In mixed form: 52/21

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