Add 15/75 and 21/14, Solve 15/75 + 1 7/14 as a fraction

Add 15/75 and 21/14

1^st number: 15/75, 2^nd number: 1 7/14

15/75 + 21/14 is 17/10.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 14 is 1050

Next, find the equivalent fraction of both fractional numbers with denominator 1050
For the 1st fraction, since 75 × 14 = 1050,
15/75 = 15 × 14/75 × 14 = 210/1050
Likewise, for the 2nd fraction, since 14 × 75 = 1050,
21/14 = 21 × 75/14 × 75 = 1575/1050
Add the two like fractions:
210/1050 + 1575/1050 = 210 + 1575/1050 = 1785/1050
1785/1050 simplified gives 17/10
So, 15/75 + 21/14 = 17/10
In mixed form: 17/10

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