Add 27/35 and 50/36, Solve 27/35 + 1 14/36 as a fraction

Add 27/35 and 50/36

1^st number: 27/35, 2^nd number: 1 14/36

27/35 + 50/36 is 1361/630.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 36 is 1260

Next, find the equivalent fraction of both fractional numbers with denominator 1260
For the 1st fraction, since 35 × 36 = 1260,
27/35 = 27 × 36/35 × 36 = 972/1260
Likewise, for the 2nd fraction, since 36 × 35 = 1260,
50/36 = 50 × 35/36 × 35 = 1750/1260
Add the two like fractions:
972/1260 + 1750/1260 = 972 + 1750/1260 = 2722/1260
2722/1260 simplified gives 1361/630
So, 27/35 + 50/36 = 1361/630
In mixed form: 2101/630

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