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

Add 35/10 and 5/49

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

35/10 + 5/49 is 353/98.

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,
5/49 = 5 × 10/49 × 10 = 50/490
Add the two like fractions:
1715/490 + 50/490 = 1715 + 50/490 = 1765/490
1765/490 simplified gives 353/98
So, 35/10 + 5/49 = 353/98
In mixed form: 359/98

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