Add 9/45 and 30/14, Solve 9/45 + 2 2/14 as a fraction

Add 9/45 and 30/14

1^st number: 9/45, 2^nd number: 2 2/14

9/45 + 30/14 is 82/35.

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,
9/45 = 9 × 14/45 × 14 = 126/630
Likewise, for the 2nd fraction, since 14 × 45 = 630,
30/14 = 30 × 45/14 × 45 = 1350/630
Add the two like fractions:
126/630 + 1350/630 = 126 + 1350/630 = 1476/630
1476/630 simplified gives 82/35
So, 9/45 + 30/14 = 82/35
In mixed form: 212/35

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