Add 75/10 and 27/24, Solve 7 5/10 + 1 3/24 as a fraction

Add 75/10 and 27/24

1^st number: 7 5/10, 2^nd number: 1 3/24

75/10 + 27/24 is 69/8.

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,
75/10 = 75 × 12/10 × 12 = 900/120
Likewise, for the 2nd fraction, since 24 × 5 = 120,
27/24 = 27 × 5/24 × 5 = 135/120
Add the two like fractions:
900/120 + 135/120 = 900 + 135/120 = 1035/120
1035/120 simplified gives 69/8
So, 75/10 + 27/24 = 69/8
In mixed form: 85/8

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