Add 9/4 and 21/75, Solve 2 1/4 + 21/75 as a fraction

Add 9/4 and 21/75

1^st number: 2 1/4, 2^nd number: 21/75

9/4 + 21/75 is 253/100.

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,
9/4 = 9 × 75/4 × 75 = 675/300
Likewise, for the 2nd fraction, since 75 × 4 = 300,
21/75 = 21 × 4/75 × 4 = 84/300
Add the two like fractions:
675/300 + 84/300 = 675 + 84/300 = 759/300
759/300 simplified gives 253/100
So, 9/4 + 21/75 = 253/100
In mixed form: 253/100

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