Add 35/10 and 7/49, Solve 3 5/10 + 7/49 as a fraction

Add 35/10 and 7/49

1^st number: 3 5/10, 2^nd number: 7/49

35/10 + 7/49 is 51/14.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 10 × 49 = 490,
35/10 = 35 × 49/10 × 49 = 1715/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
7/49 = 7 × 10/49 × 10 = 70/490
Add the two like fractions:
1715/490 + 70/490 = 1715 + 70/490 = 1785/490
1785/490 simplified gives 51/14
So, 35/10 + 7/49 = 51/14
In mixed form: 39/14

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