Add 5/75 and 75/14, Solve 5/75 + 5 5/14 as a fraction

Add 5/75 and 75/14

1^st number: 5/75, 2^nd number: 5 5/14

5/75 + 75/14 is 1139/210.

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,
5/75 = 5 × 14/75 × 14 = 70/1050
Likewise, for the 2nd fraction, since 14 × 75 = 1050,
75/14 = 75 × 75/14 × 75 = 5625/1050
Add the two like fractions:
70/1050 + 5625/1050 = 70 + 5625/1050 = 5695/1050
5695/1050 simplified gives 1139/210
So, 5/75 + 75/14 = 1139/210
In mixed form: 589/210

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