Add 30/45 and 45/14, Solve 30/45 + 3 3/14 as a fraction

Add 30/45 and 45/14

1^st number: 30/45, 2^nd number: 3 3/14

30/45 + 45/14 is 163/42.

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,
45/14 = 45 × 45/14 × 45 = 2025/630
Add the two like fractions:
420/630 + 2025/630 = 420 + 2025/630 = 2445/630
2445/630 simplified gives 163/42
So, 30/45 + 45/14 = 163/42
In mixed form: 337/42

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