Add 10/14 and 45/21, Solve 10/14 + 2 3/21 as a fraction

Add 10/14 and 45/21

1^st number: 10/14, 2^nd number: 2 3/21

10/14 + 45/21 is 20/7.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 14 × 3 = 42,
10/14 = 10 × 3/14 × 3 = 30/42
Likewise, for the 2nd fraction, since 21 × 2 = 42,
45/21 = 45 × 2/21 × 2 = 90/42
Add the two like fractions:
30/42 + 90/42 = 30 + 90/42 = 120/42
120/42 simplified gives 20/7
So, 10/14 + 45/21 = 20/7
In mixed form: 26/7

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