Add 21/24 and 30/7, Solve 21/24 + 4 2/7 as a fraction

Add 21/24 and 30/7

1^st number: 21/24, 2^nd number: 4 2/7

21/24 + 30/7 is 289/56.

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

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 24 × 7 = 168,
21/24 = 21 × 7/24 × 7 = 147/168
Likewise, for the 2nd fraction, since 7 × 24 = 168,
30/7 = 30 × 24/7 × 24 = 720/168
Add the two like fractions:
147/168 + 720/168 = 147 + 720/168 = 867/168
867/168 simplified gives 289/56
So, 21/24 + 30/7 = 289/56
In mixed form: 59/56

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