Add 27/45 and 50/49, Solve 27/45 + 1 1/49 as a fraction

Add 27/45 and 50/49

1^st number: 27/45, 2^nd number: 1 1/49

27/45 + 50/49 is 397/245.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 49 is 2205

Next, find the equivalent fraction of both fractional numbers with denominator 2205
For the 1st fraction, since 45 × 49 = 2205,
27/45 = 27 × 49/45 × 49 = 1323/2205
Likewise, for the 2nd fraction, since 49 × 45 = 2205,
50/49 = 50 × 45/49 × 45 = 2250/2205
Add the two like fractions:
1323/2205 + 2250/2205 = 1323 + 2250/2205 = 3573/2205
3573/2205 simplified gives 397/245
So, 27/45 + 50/49 = 397/245
In mixed form: 1152/245

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