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

Add 45/21 and 21/35

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

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

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,
45/21 = 45 × 5/21 × 5 = 225/105
Likewise, for the 2nd fraction, since 35 × 3 = 105,
21/35 = 21 × 3/35 × 3 = 63/105
Add the two like fractions:
225/105 + 63/105 = 225 + 63/105 = 288/105
288/105 simplified gives 96/35
So, 45/21 + 21/35 = 96/35
In mixed form: 226/35

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