Add 35/90 and 56/21, Solve 35/90 + 2 14/21 as a fraction

Add 35/90 and 56/21

1^st number: 35/90, 2^nd number: 2 14/21

35/90 + 56/21 is 55/18.

Find the least common denominator or LCM of the two denominators:
LCM of 90 and 21 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 90 × 7 = 630,
35/90 = 35 × 7/90 × 7 = 245/630
Likewise, for the 2nd fraction, since 21 × 30 = 630,
56/21 = 56 × 30/21 × 30 = 1680/630
Add the two like fractions:
245/630 + 1680/630 = 245 + 1680/630 = 1925/630
1925/630 simplified gives 55/18
So, 35/90 + 56/21 = 55/18
In mixed form: 31/18

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