Add 10/75 and 27/10, Solve 10/75 + 2 7/10 as a fraction

Add 10/75 and 27/10

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

10/75 + 27/10 is 17/6.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 10 is 150

Next, find the equivalent fraction of both fractional numbers with denominator 150
For the 1st fraction, since 75 × 2 = 150,
10/75 = 10 × 2/75 × 2 = 20/150
Likewise, for the 2nd fraction, since 10 × 15 = 150,
27/10 = 27 × 15/10 × 15 = 405/150
Add the two like fractions:
20/150 + 405/150 = 20 + 405/150 = 425/150
425/150 simplified gives 17/6
So, 10/75 + 27/10 = 17/6
In mixed form: 25/6

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