Add 30/75 and 50/21, Solve 30/75 + 2 8/21 as a fraction

Add 30/75 and 50/21

1^st number: 30/75, 2^nd number: 2 8/21

30/75 + 50/21 is 292/105.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 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 21 × 25 = 525,
50/21 = 50 × 25/21 × 25 = 1250/525
Add the two like fractions:
210/525 + 1250/525 = 210 + 1250/525 = 1460/525
1460/525 simplified gives 292/105
So, 30/75 + 50/21 = 292/105
In mixed form: 282/105

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