Adding More than Two Fractions
Finding the LCD for three or more fractions is pretty much the same as finding the LCD for two fractions. Factor each denominator into its prime factorization and list the primes that appear in each. Divide the LCD by each denominator. Multiply each fraction by this number over itself.
Examples
Prime factorization of the
denominators:
5
= 5
15 = 3 ⋅
5
20 = 2 ⋅
2 ⋅
5
The LCD = 2 ⋅
2 ⋅
3 ⋅
5 = 60
Prime factorization of the
denominators:
10 = 2 ⋅
5
12 = 2 ⋅
2 ⋅
3
18 = 2 ⋅
3 ⋅
3
LCD = 2 ⋅ 2 ⋅
3 ⋅
3 ⋅
5 = 180
Practice
Solutions
“Sumber Informasi”
Labels:
Mathematician
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