Add 10/75 and 21/4, Solve 10/75 + 5 1/4 as a fraction

Add 10/75 and 21/4

1^st number: 10/75, 2^nd number: 5 1/4

10/75 + 21/4 is 323/60.

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,
10/75 = 10 × 4/75 × 4 = 40/300
Likewise, for the 2nd fraction, since 4 × 75 = 300,
21/4 = 21 × 75/4 × 75 = 1575/300
Add the two like fractions:
40/300 + 1575/300 = 40 + 1575/300 = 1615/300
1615/300 simplified gives 323/60
So, 10/75 + 21/4 = 323/60
In mixed form: 523/60

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