Add 24/5 and 49/24, Solve 4 4/5 + 2 1/24 as a fraction

Add 24/5 and 49/24

1^st number: 4 4/5, 2^nd number: 2 1/24

24/5 + 49/24 is 821/120.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 24 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 5 × 24 = 120,
24/5 = 24 × 24/5 × 24 = 576/120
Likewise, for the 2nd fraction, since 24 × 5 = 120,
49/24 = 49 × 5/24 × 5 = 245/120
Add the two like fractions:
576/120 + 245/120 = 576 + 245/120 = 821/120
So, 24/5 + 49/24 = 821/120
In mixed form: 6101/120

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