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

Add 10/3 and 35/10

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

10/3 + 35/10 is 41/6.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 10 is 30

Next, find the equivalent fraction of both fractional numbers with denominator 30
For the 1st fraction, since 3 × 10 = 30,
10/3 = 10 × 10/3 × 10 = 100/30
Likewise, for the 2nd fraction, since 10 × 3 = 30,
35/10 = 35 × 3/10 × 3 = 105/30
Add the two like fractions:
100/30 + 105/30 = 100 + 105/30 = 205/30
205/30 simplified gives 41/6
So, 10/3 + 35/10 = 41/6
In mixed form: 65/6

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