Question

Kristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?

Answer 1

Hint: Here we will first find the total number of CDs Kristin has by adding the number of CDs she bought and received as gifts. Then we will divide the number of CDs she bought by the total number of CDs she has to get the fraction for CDs bought by her. Then we will divide the number of CDs she received by the total number of CDs she has to get the fraction for CDs received.

Complete step-by-step answer:
According to the question,
CDs bought by Kristin \[= 3\]
CDs received by her as gift \[= 5\]
Therefore,
Total number of CDs \[ = 3 + 5 = 8\]
Now, we will find the fraction of CDs received.
Fraction of CDs received = Number of CDs received as gift \[ \div \] Total number of CDs
Substituting the values in the above equation, we get
\[ \Rightarrow \] Fraction of CDs received \[ = \dfrac{5}{8}\]
We will now find the fraction of CDs bought.
Fraction of CDs bought= Number of CDs bought \[ \div \] Total number of CDs
Substituting the values in the above equation, we get
\[ \Rightarrow \] Fraction of CDs bought \[ = \dfrac{3}{8}\]

Therefore, Kristin bought and received CDs in fraction of \[\dfrac{3}{8}\] and\[\dfrac{5}{8}\] respectively.

Note: A fraction is defined as a part of a whole thing the thing can be an object or a quantity. It is defined by a numerical value and is represented by the ‘/’ symbol. A fraction holds commutative and associative property for addition and multiplication. It also holds the distributive property of multiplication over addition. 0 is the identity element of fraction addition and 1 is the identity element of fraction multiplication.