Add 35/10 and 21/24, Solve 3 5/10 + 21/24 as a fraction

Add 35/10 and 21/24

1^st number: 3 5/10, 2^nd number: 21/24

35/10 + 21/24 is 35/8.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 24 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 10 × 12 = 120,
35/10 = 35 × 12/10 × 12 = 420/120
Likewise, for the 2nd fraction, since 24 × 5 = 120,
21/24 = 21 × 5/24 × 5 = 105/120
Add the two like fractions:
420/120 + 105/120 = 420 + 105/120 = 525/120
525/120 simplified gives 35/8
So, 35/10 + 21/24 = 35/8
In mixed form: 43/8

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