Add 30/7 and 28/24, Solve 4 2/7 + 1 4/24 as a fraction

Add 30/7 and 28/24

1^st number: 4 2/7, 2^nd number: 1 4/24

30/7 + 28/24 is 229/42.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 24 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 7 × 24 = 168,
30/7 = 30 × 24/7 × 24 = 720/168
Likewise, for the 2nd fraction, since 24 × 7 = 168,
28/24 = 28 × 7/24 × 7 = 196/168
Add the two like fractions:
720/168 + 196/168 = 720 + 196/168 = 916/168
916/168 simplified gives 229/42
So, 30/7 + 28/24 = 229/42
In mixed form: 519/42

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