Add 49/21 and 7/35, Solve 2 7/21 + 7/35 as a fraction

Add 49/21 and 7/35

1^st number: 2 7/21, 2^nd number: 7/35

49/21 + 7/35 is 38/15.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 35 is 105

Next, find the equivalent fraction of both fractional numbers with denominator 105
For the 1st fraction, since 21 × 5 = 105,
49/21 = 49 × 5/21 × 5 = 245/105
Likewise, for the 2nd fraction, since 35 × 3 = 105,
7/35 = 7 × 3/35 × 3 = 21/105
Add the two like fractions:
245/105 + 21/105 = 245 + 21/105 = 266/105
266/105 simplified gives 38/15
So, 49/21 + 7/35 = 38/15
In mixed form: 28/15

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