Add 3/27 and 42/49, Solve 3/27 + 42/49 as a fraction

Add 3/27 and 42/49

3/27 + 42/49 is 61/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 27 × 49 = 1323,
3/27 = 3 × 49/27 × 49 = 147/1323
Likewise, for the 2nd fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323
Add the two like fractions:
147/1323 + 1134/1323 = 147 + 1134/1323 = 1281/1323
1281/1323 simplified gives 61/63
So, 3/27 + 42/49 = 61/63

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