Add 7/75 and 70/30, Solve 7/75 + 2 10/30 as a fraction

Add 7/75 and 70/30

1^st number: 7/75, 2^nd number: 2 10/30

7/75 + 70/30 is 182/75.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 30 is 150

Next, find the equivalent fraction of both fractional numbers with denominator 150
For the 1st fraction, since 75 × 2 = 150,
7/75 = 7 × 2/75 × 2 = 14/150
Likewise, for the 2nd fraction, since 30 × 5 = 150,
70/30 = 70 × 5/30 × 5 = 350/150
Add the two like fractions:
14/150 + 350/150 = 14 + 350/150 = 364/150
364/150 simplified gives 182/75
So, 7/75 + 70/30 = 182/75
In mixed form: 232/75

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