Add 4/49 and 45/27, Solve 4/49 + 1 18/27 as a fraction

Add 4/49 and 45/27

1^st number: 4/49, 2^nd number: 1 18/27

4/49 + 45/27 is 257/147.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 49 × 27 = 1323,
4/49 = 4 × 27/49 × 27 = 108/1323
Likewise, for the 2nd fraction, since 27 × 49 = 1323,
45/27 = 45 × 49/27 × 49 = 2205/1323
Add the two like fractions:
108/1323 + 2205/1323 = 108 + 2205/1323 = 2313/1323
2313/1323 simplified gives 257/147
So, 4/49 + 45/27 = 257/147
In mixed form: 1110/147

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