Add 6/14 and 75/45, Solve 6/14 + 1 30/45 as a fraction

Add 6/14 and 75/45

1^st number: 6/14, 2^nd number: 1 30/45

6/14 + 75/45 is 44/21.

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,
6/14 = 6 × 45/14 × 45 = 270/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
75/45 = 75 × 14/45 × 14 = 1050/630
Add the two like fractions:
270/630 + 1050/630 = 270 + 1050/630 = 1320/630
1320/630 simplified gives 44/21
So, 6/14 + 75/45 = 44/21
In mixed form: 22/21

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