Add 30/75 and 21/4, Solve 30/75 + 5 1/4 as a fraction

Add 30/75 and 21/4

1^st number: 30/75, 2^nd number: 5 1/4

30/75 + 21/4 is 113/20.

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

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 75 × 4 = 300,
30/75 = 30 × 4/75 × 4 = 120/300
Likewise, for the 2nd fraction, since 4 × 75 = 300,
21/4 = 21 × 75/4 × 75 = 1575/300
Add the two like fractions:
120/300 + 1575/300 = 120 + 1575/300 = 1695/300
1695/300 simplified gives 113/20
So, 30/75 + 21/4 = 113/20
In mixed form: 513/20

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