Quick Notes

The recipe to make chocolate chip muffins is as shown. \(\dfrac{3}{4}\)cup of chocolate chips is needed to produce 12 muffins. Zara tried the recipe and used only half of the flour. How many chocolate chips did Zara use?

SOLUTION:

\(\dfrac{1}{2}\times\dfrac{3}{4}=\dfrac{1\times3}{2\times4}\\ \quad\quad\quad=\dfrac{3}{8}\)

Damia has \(1\dfrac{1}{2} m\) of ribbon. She uses \(\dfrac{1}{3}\)of the ribbon to decorate her mother's gift box. What is the length of the ribbon that she uses?       

SOLUTION:
\(\quad\quad\quad\quad\quad\quad\small{\color{red}1}\\ \dfrac{1}{3}\times1\dfrac{1}{2}=\dfrac{1}{\cancel3}\times\dfrac{\cancel3}{2}\\ \quad\quad\quad\quad\quad\small{\color{red}1}\\ \quad\quad\quad\quad=\dfrac{1}{1}\times\dfrac{1}{2}\\ \quad\quad\quad\quad=\dfrac{1}{2}\)