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Decomposition of fractions involves breaking down a given fraction into a sum of smaller fractions with different denominators. There are several methods to decompose fractions, and in this explanation, we will focus on the method using common denominators and the method using prime factorization.
To decompose a fraction into unit fractions, break it into a sum of fractions that each have 1 as the numerator. Three quarters decomposes into one quarter plus one quarter plus one quarter. Exercises for Decomposition of Fractions into Unit Fractions Decompose fractions using unit fractions. (color{blue}{frac{7}{8}}) (color{blue}{frac{3}{4}}) (color{blue}{frac{5}{6}}) (color{blue}{frac{1}{8}+frac{1}{8}+frac{1}{8}+frac{1}{8}+frac{1}{8}+frac{1}{8}+frac{1}{8}}) (color{blue}{frac{1}{4}+frac{1}{4}+frac{1}{4}}) (color{blue}{frac{1}{6}+frac{1}{6}+frac{1}{6}+frac{1}{6}+frac{1}{6}})
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