Add 30/14 and 2/45, Solve 2 2/14 + 2/45 as a fraction

Add 30/14 and 2/45

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

30/14 + 2/45 is 689/315.

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

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 14 × 45 = 630,
30/14 = 30 × 45/14 × 45 = 1350/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
2/45 = 2 × 14/45 × 14 = 28/630
Add the two like fractions:
1350/630 + 28/630 = 1350 + 28/630 = 1378/630
1378/630 simplified gives 689/315
So, 30/14 + 2/45 = 689/315
In mixed form: 259/315

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