Add 30/4 and 10/75, Solve 7 2/4 + 10/75 as a fraction

Add 30/4 and 10/75

1^st number: 7 2/4, 2^nd number: 10/75

30/4 + 10/75 is 229/30.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 75 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 4 × 75 = 300,
30/4 = 30 × 75/4 × 75 = 2250/300
Likewise, for the 2nd fraction, since 75 × 4 = 300,
10/75 = 10 × 4/75 × 4 = 40/300
Add the two like fractions:
2250/300 + 40/300 = 2250 + 40/300 = 2290/300
2290/300 simplified gives 229/30
So, 30/4 + 10/75 = 229/30
In mixed form: 719/30

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