Add 30/75 and 60/7, Solve 30/75 + 8 4/7 as a fraction

Add 30/75 and 60/7

1^st number: 30/75, 2^nd number: 8 4/7

30/75 + 60/7 is 314/35.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 7 is 525

Next, find the equivalent fraction of both fractional numbers with denominator 525
For the 1st fraction, since 75 × 7 = 525,
30/75 = 30 × 7/75 × 7 = 210/525
Likewise, for the 2nd fraction, since 7 × 75 = 525,
60/7 = 60 × 75/7 × 75 = 4500/525
Add the two like fractions:
210/525 + 4500/525 = 210 + 4500/525 = 4710/525
4710/525 simplified gives 314/35
So, 30/75 + 60/7 = 314/35
In mixed form: 834/35

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