when you multiply a fraction why do you not divide instead when there's a DIVISION SIGN in front.

hellokitty
Oct 19, 2014

#1**+5 **

Hello Kitty,

Lets think about what dividing by a fraction means.

$$\frac{3}{4}\div \frac{1}{4}$$

This means - how many how many $${\frac{{\mathtt{1}}}{{\mathtt{4}}}}$$ size portions of cake can I have if I have a total of $${\frac{{\mathtt{3}}}{{\mathtt{4}}}}$$ of a cake.

Well, there are 3 one-quarters in 3quarters of a cake so the answer is 3

---------------------------------------------------

NOW lets look at the numbers

$$\frac{3}{4}\div \frac{1}{4}\\\\

$ I have to turn the second one upside down and multiply$\\\\

=\frac{3}{4}\times \frac{4}{1}\\\\

=\frac{3}{\not{4}}\times \frac{\not{4}}{1}\\\\

=3$$

Does that help?

Melody
Oct 19, 2014

#1**+5 **

Best Answer

Hello Kitty,

Lets think about what dividing by a fraction means.

$$\frac{3}{4}\div \frac{1}{4}$$

This means - how many how many $${\frac{{\mathtt{1}}}{{\mathtt{4}}}}$$ size portions of cake can I have if I have a total of $${\frac{{\mathtt{3}}}{{\mathtt{4}}}}$$ of a cake.

Well, there are 3 one-quarters in 3quarters of a cake so the answer is 3

---------------------------------------------------

NOW lets look at the numbers

$$\frac{3}{4}\div \frac{1}{4}\\\\

$ I have to turn the second one upside down and multiply$\\\\

=\frac{3}{4}\times \frac{4}{1}\\\\

=\frac{3}{\not{4}}\times \frac{\not{4}}{1}\\\\

=3$$

Does that help?

Melody
Oct 19, 2014