Add 7/49 and 28/9, Solve 7/49 + 3 1/9 as a fraction

Add 7/49 and 28/9

1^st number: 7/49, 2^nd number: 3 1/9

7/49 + 28/9 is 205/63.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 9 is 441

Next, find the equivalent fraction of both fractional numbers with denominator 441
For the 1st fraction, since 49 × 9 = 441,
7/49 = 7 × 9/49 × 9 = 63/441
Likewise, for the 2nd fraction, since 9 × 49 = 441,
28/9 = 28 × 49/9 × 49 = 1372/441
Add the two like fractions:
63/441 + 1372/441 = 63 + 1372/441 = 1435/441
1435/441 simplified gives 205/63
So, 7/49 + 28/9 = 205/63
In mixed form: 316/63

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