Add 10/75 and 35/12, Solve 10/75 + 2 11/12 as a fraction

Add 10/75 and 35/12

1^st number: 10/75, 2^nd number: 2 11/12

10/75 + 35/12 is 61/20.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 12 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 75 × 4 = 300,
10/75 = 10 × 4/75 × 4 = 40/300
Likewise, for the 2nd fraction, since 12 × 25 = 300,
35/12 = 35 × 25/12 × 25 = 875/300
Add the two like fractions:
40/300 + 875/300 = 40 + 875/300 = 915/300
915/300 simplified gives 61/20
So, 10/75 + 35/12 = 61/20
In mixed form: 31/20

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