Question

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

Answer 1

$${\textbf{Step - 1: Listing the information about the CDs}}{\text{.}}$$

$${\text{Kristin bought 3 CDs}}{\text{.}}$$

$${\text{She received 5 as gifts}}{\text{.}}$$

$${\text{So she has a total of 8 CDs with her}}{\text{.}}$$

$${\textbf{Step - 2: Calculating the fractions}}{\text{.}}$$

$${\text{Fraction of CDs she bought = }}\dfrac{{{\text{number of CDs she bought}}}}{{{\text{total number of CDs she has}}}}$$

$$ = \dfrac{3}{8}.$$

$${\text{Fraction of CDs she received as gift = }}\dfrac{{{\text{number of CDs she received}}}}{{{\text{total number of CDs she has}}}}$$

$$ = \dfrac{5}{8}.$$

$${\textbf{Hence, Kristin bought }}\mathbf{\dfrac{3}{8}{\text{ of the total CDs and received }}\dfrac{5}{8}{\text{ of it as gift}}{\text{.}}}$$