Add 21/35 and 45/21, Solve 21/35 + 2 3/21 as a fraction

Add 21/35 and 45/21

1^st number: 21/35, 2^nd number: 2 3/21

21/35 + 45/21 is 96/35.

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

Next, find the equivalent fraction of both fractional numbers with denominator 105
For the 1st fraction, since 35 × 3 = 105,
21/35 = 21 × 3/35 × 3 = 63/105
Likewise, for the 2nd fraction, since 21 × 5 = 105,
45/21 = 45 × 5/21 × 5 = 225/105
Add the two like fractions:
63/105 + 225/105 = 63 + 225/105 = 288/105
288/105 simplified gives 96/35
So, 21/35 + 45/21 = 96/35
In mixed form: 226/35

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