Add 27/45 and 35/21, Solve 27/45 + 1 14/21 as a fraction

Add 27/45 and 35/21

1^st number: 27/45, 2^nd number: 1 14/21

27/45 + 35/21 is 34/15.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 45 × 7 = 315,
27/45 = 27 × 7/45 × 7 = 189/315
Likewise, for the 2nd fraction, since 21 × 15 = 315,
35/21 = 35 × 15/21 × 15 = 525/315
Add the two like fractions:
189/315 + 525/315 = 189 + 525/315 = 714/315
714/315 simplified gives 34/15
So, 27/45 + 35/21 = 34/15
In mixed form: 24/15

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