Add 14/5 and 49/24, Solve 2 4/5 + 2 1/24 as a fraction

Add 14/5 and 49/24

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

14/5 + 49/24 is 581/120.

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,
14/5 = 14 × 24/5 × 24 = 336/120
Likewise, for the 2nd fraction, since 24 × 5 = 120,
49/24 = 49 × 5/24 × 5 = 245/120
Add the two like fractions:
336/120 + 245/120 = 336 + 245/120 = 581/120
So, 14/5 + 49/24 = 581/120
In mixed form: 4101/120

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