Add 27/10 and 75/24
1st number: 2 7/10, 2nd number: 3 3/24
27/10 + 75/24 is 233/40.
Steps for adding fractions
- 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,
27/10 = 27 × 12/10 × 12 = 324/120 - Likewise, for the 2nd fraction, since 24 × 5 = 120,
75/24 = 75 × 5/24 × 5 = 375/120 - Add the two like fractions:
324/120 + 375/120 = 324 + 375/120 = 699/120 - 699/120 simplified gives 233/40
- So, 27/10 + 75/24 = 233/40
In mixed form: 533/40
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