Add 36/35 and 70/49, Solve 1 1/35 + 1 21/49 as a fraction

Add 36/35 and 70/49

1^st number: 1 1/35, 2^nd number: 1 21/49

36/35 + 70/49 is 86/35.

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,
36/35 = 36 × 7/35 × 7 = 252/245
Likewise, for the 2nd fraction, since 49 × 5 = 245,
70/49 = 70 × 5/49 × 5 = 350/245
Add the two like fractions:
252/245 + 350/245 = 252 + 350/245 = 602/245
602/245 simplified gives 86/35
So, 36/35 + 70/49 = 86/35
In mixed form: 216/35

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