Add 14/10 and 84/49, Solve 1 4/10 + 1 35/49 as a fraction

Add 14/10 and 84/49

1^st number: 1 4/10, 2^nd number: 1 35/49

14/10 + 84/49 is 109/35.

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,
14/10 = 14 × 49/10 × 49 = 686/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
84/49 = 84 × 10/49 × 10 = 840/490
Add the two like fractions:
686/490 + 840/490 = 686 + 840/490 = 1526/490
1526/490 simplified gives 109/35
So, 14/10 + 84/49 = 109/35
In mixed form: 34/35

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