Add 49/10 and 7/49, Solve 4 9/10 + 7/49 as a fraction

Add 49/10 and 7/49

1^st number: 4 9/10, 2^nd number: 7/49

49/10 + 7/49 is 353/70.

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,
49/10 = 49 × 49/10 × 49 = 2401/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
7/49 = 7 × 10/49 × 10 = 70/490
Add the two like fractions:
2401/490 + 70/490 = 2401 + 70/490 = 2471/490
2471/490 simplified gives 353/70
So, 49/10 + 7/49 = 353/70
In mixed form: 53/70

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