Add 2/49 and 27/24, Solve 2/49 + 1 3/24 as a fraction

Add 2/49 and 27/24

1^st number: 2/49, 2^nd number: 1 3/24

2/49 + 27/24 is 457/392.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 24 is 1176

Next, find the equivalent fraction of both fractional numbers with denominator 1176
For the 1st fraction, since 49 × 24 = 1176,
2/49 = 2 × 24/49 × 24 = 48/1176
Likewise, for the 2nd fraction, since 24 × 49 = 1176,
27/24 = 27 × 49/24 × 49 = 1323/1176
Add the two like fractions:
48/1176 + 1323/1176 = 48 + 1323/1176 = 1371/1176
1371/1176 simplified gives 457/392
So, 2/49 + 27/24 = 457/392
In mixed form: 165/392

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