Add 35/10 and 24/21, Solve 3 5/10 + 1 3/21 as a fraction

Add 35/10 and 24/21

1^st number: 3 5/10, 2^nd number: 1 3/21

35/10 + 24/21 is 65/14.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 21 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 10 × 21 = 210,
35/10 = 35 × 21/10 × 21 = 735/210
Likewise, for the 2nd fraction, since 21 × 10 = 210,
24/21 = 24 × 10/21 × 10 = 240/210
Add the two like fractions:
735/210 + 240/210 = 735 + 240/210 = 975/210
975/210 simplified gives 65/14
So, 35/10 + 24/21 = 65/14
In mixed form: 49/14

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