Add 42/9 and 9/84, Solve 4 6/9 + 9/84 as a fraction

Add 42/9 and 9/84

1^st number: 4 6/9, 2^nd number: 9/84

42/9 + 9/84 is 401/84.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 9 × 28 = 252,
42/9 = 42 × 28/9 × 28 = 1176/252
Likewise, for the 2nd fraction, since 84 × 3 = 252,
9/84 = 9 × 3/84 × 3 = 27/252
Add the two like fractions:
1176/252 + 27/252 = 1176 + 27/252 = 1203/252
1203/252 simplified gives 401/84
So, 42/9 + 9/84 = 401/84
In mixed form: 465/84

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