Add 49/14 and 6/45, Solve 3 7/14 + 6/45 as a fraction

Add 49/14 and 6/45

1^st number: 3 7/14, 2^nd number: 6/45

49/14 + 6/45 is 109/30.

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,
49/14 = 49 × 45/14 × 45 = 2205/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
6/45 = 6 × 14/45 × 14 = 84/630
Add the two like fractions:
2205/630 + 84/630 = 2205 + 84/630 = 2289/630
2289/630 simplified gives 109/30
So, 49/14 + 6/45 = 109/30
In mixed form: 319/30

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