Add 30/70 and 70/49, Solve 30/70 + 1 21/49 as a fraction

Add 30/70 and 70/49

1^st number: 30/70, 2^nd number: 1 21/49

30/70 + 70/49 is 13/7.

Find the least common denominator or LCM of the two denominators:
LCM of 70 and 49 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 70 × 7 = 490,
30/70 = 30 × 7/70 × 7 = 210/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
70/49 = 70 × 10/49 × 10 = 700/490
Add the two like fractions:
210/490 + 700/490 = 210 + 700/490 = 910/490
910/490 simplified gives 13/7
So, 30/70 + 70/49 = 13/7
In mixed form: 16/7

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