Add 35/14 and 10/75, Solve 2 7/14 + 10/75 as a fraction

Add 35/14 and 10/75

1^st number: 2 7/14, 2^nd number: 10/75

35/14 + 10/75 is 79/30.

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

Next, find the equivalent fraction of both fractional numbers with denominator 1050
For the 1st fraction, since 14 × 75 = 1050,
35/14 = 35 × 75/14 × 75 = 2625/1050
Likewise, for the 2nd fraction, since 75 × 14 = 1050,
10/75 = 10 × 14/75 × 14 = 140/1050
Add the two like fractions:
2625/1050 + 140/1050 = 2625 + 140/1050 = 2765/1050
2765/1050 simplified gives 79/30
So, 35/14 + 10/75 = 79/30
In mixed form: 219/30

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