Add 4/35 and 56/49, Solve 4/35 + 1 7/49 as a fraction

Add 4/35 and 56/49

1^st number: 4/35, 2^nd number: 1 7/49

4/35 + 56/49 is 44/35.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245

Next, find the equivalent fraction of both fractional numbers with denominator 245
For the 1st fraction, since 35 × 7 = 245,
4/35 = 4 × 7/35 × 7 = 28/245
Likewise, for the 2nd fraction, since 49 × 5 = 245,
56/49 = 56 × 5/49 × 5 = 280/245
Add the two like fractions:
28/245 + 280/245 = 28 + 280/245 = 308/245
308/245 simplified gives 44/35
So, 4/35 + 56/49 = 44/35
In mixed form: 19/35

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