Add 45/21 and 35/14, Solve 2 3/21 + 2 7/14 as a fraction

Add 45/21 and 35/14

1^st number: 2 3/21, 2^nd number: 2 7/14

45/21 + 35/14 is 65/14.

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

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 21 × 2 = 42,
45/21 = 45 × 2/21 × 2 = 90/42
Likewise, for the 2nd fraction, since 14 × 3 = 42,
35/14 = 35 × 3/14 × 3 = 105/42
Add the two like fractions:
90/42 + 105/42 = 90 + 105/42 = 195/42
195/42 simplified gives 65/14
So, 45/21 + 35/14 = 65/14
In mixed form: 49/14

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