Add 30/45 and 18/14, Solve 30/45 + 1 4/14 as a fraction

Add 30/45 and 18/14

1^st number: 30/45, 2^nd number: 1 4/14

30/45 + 18/14 is 41/21.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 14 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 45 × 14 = 630,
30/45 = 30 × 14/45 × 14 = 420/630
Likewise, for the 2nd fraction, since 14 × 45 = 630,
18/14 = 18 × 45/14 × 45 = 810/630
Add the two like fractions:
420/630 + 810/630 = 420 + 810/630 = 1230/630
1230/630 simplified gives 41/21
So, 30/45 + 18/14 = 41/21
In mixed form: 120/21

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