Add 4/21 and 75/10, Solve 4/21 + 7 5/10 as a fraction

Add 4/21 and 75/10

1^st number: 4/21, 2^nd number: 7 5/10

4/21 + 75/10 is 323/42.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 10 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 21 × 10 = 210,
4/21 = 4 × 10/21 × 10 = 40/210
Likewise, for the 2nd fraction, since 10 × 21 = 210,
75/10 = 75 × 21/10 × 21 = 1575/210
Add the two like fractions:
40/210 + 1575/210 = 40 + 1575/210 = 1615/210
1615/210 simplified gives 323/42
So, 4/21 + 75/10 = 323/42
In mixed form: 729/42

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