Add 35/21 and 28/27, Solve 1 14/21 + 1 1/27 as a fraction

Add 35/21 and 28/27

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

35/21 + 28/27 is 73/27.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 21 × 9 = 189,
35/21 = 35 × 9/21 × 9 = 315/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
28/27 = 28 × 7/27 × 7 = 196/189
Add the two like fractions:
315/189 + 196/189 = 315 + 196/189 = 511/189
511/189 simplified gives 73/27
So, 35/21 + 28/27 = 73/27
In mixed form: 219/27

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