## Fractions

 2.1 Fractions
 DIVISIONS FOR FRACTIONS DIVIDE PROPER FRACTIONS BY WHOLE NUMBERS

Divide $$\frac{3}{4}$$ of the pizza into 6 equal portions. What is the fraction of each part?

SOLUTION:

$$\frac{3}{4}\div6=$$

$$\;\;\;\frac{3}{4}\div6\\\,\\=\frac{3}{4}\div\frac{6}{1}\\\,\\=\frac{3}{4}\times\frac{1}{6}\\\,\\=\frac{3}{24}\\\,\\=\frac{1}{8}$$

So, each part will be $$\frac{1}{8}$$.

 DIVIDE MIXED NUMBERS BY WHOLE NUMBERS

Aminah will cut the $$2\frac{1}{4}\text{ m}$$ ribbon below into 3 pieces of equal length. What is the length, in fractions, of each piece of ribbon?

SOLUTION:

$$2\frac{1}{4}\div3=$$

$$\;\;\;2\frac{1}{4}\div3\\\,\\=\frac{9}{4}\div\frac{3}{1}\\\,\\=\frac{9}{4}\times\frac{1}{3}\\\,\\=\frac{9}{12}\\\,\\=\frac{3}{4}$$

So, the length of each ribbon cut is $$\frac{3}{4}\text{ m}$$.

 DIVIDE A PROPER FRACTION BY A PROPER FRACTION

Sani has $$\frac{1}{2}\ l$$ water. Sani uses $$\frac{1}{4}\ l$$ of water for each trial to see how far the water rocket moves.

SOLUTION:

$$\frac{1}{2}\div\frac{1}{4}=$$

$$\frac{1}{2}\div\frac{1}{4}\\\,\\=\frac{1}{2}\times\frac{4}{1}\\\,\\=\frac{4}{2}\\\,\\=2$$

So, the number of trials is 2.

 DIVIDE MIXED NUMBERS BY PROPER FRACTIONS

How many $$\frac{1}{4}\text{ kg}$$ in a $$1\frac{1}{2}$$kg?

SOLUTION:

$$1\frac{1}{2}\div\frac{1}{4}=$$

$$\;\;\;1\frac{1}{2}\div\frac{1}{4}\\\,\\=\frac{3}{2}\times\frac{4}{1}\\\,\\=\frac{12}{2}\\\,\\=6$$

So, there are 6 parts of a $$\frac{1}{4}\text{ kg}$$ in $$1\frac{1}{2}$$ kg.

## Fractions

 2.1 Fractions
 DIVISIONS FOR FRACTIONS DIVIDE PROPER FRACTIONS BY WHOLE NUMBERS

Divide $$\frac{3}{4}$$ of the pizza into 6 equal portions. What is the fraction of each part?

SOLUTION:

$$\frac{3}{4}\div6=$$

$$\;\;\;\frac{3}{4}\div6\\\,\\=\frac{3}{4}\div\frac{6}{1}\\\,\\=\frac{3}{4}\times\frac{1}{6}\\\,\\=\frac{3}{24}\\\,\\=\frac{1}{8}$$

So, each part will be $$\frac{1}{8}$$.

 DIVIDE MIXED NUMBERS BY WHOLE NUMBERS

Aminah will cut the $$2\frac{1}{4}\text{ m}$$ ribbon below into 3 pieces of equal length. What is the length, in fractions, of each piece of ribbon?

SOLUTION:

$$2\frac{1}{4}\div3=$$

$$\;\;\;2\frac{1}{4}\div3\\\,\\=\frac{9}{4}\div\frac{3}{1}\\\,\\=\frac{9}{4}\times\frac{1}{3}\\\,\\=\frac{9}{12}\\\,\\=\frac{3}{4}$$

So, the length of each ribbon cut is $$\frac{3}{4}\text{ m}$$.

 DIVIDE A PROPER FRACTION BY A PROPER FRACTION

Sani has $$\frac{1}{2}\ l$$ water. Sani uses $$\frac{1}{4}\ l$$ of water for each trial to see how far the water rocket moves.

SOLUTION:

$$\frac{1}{2}\div\frac{1}{4}=$$

$$\frac{1}{2}\div\frac{1}{4}\\\,\\=\frac{1}{2}\times\frac{4}{1}\\\,\\=\frac{4}{2}\\\,\\=2$$

So, the number of trials is 2.

 DIVIDE MIXED NUMBERS BY PROPER FRACTIONS

How many $$\frac{1}{4}\text{ kg}$$ in a $$1\frac{1}{2}$$kg?

SOLUTION:

$$1\frac{1}{2}\div\frac{1}{4}=$$

$$\;\;\;1\frac{1}{2}\div\frac{1}{4}\\\,\\=\frac{3}{2}\times\frac{4}{1}\\\,\\=\frac{12}{2}\\\,\\=6$$

So, there are 6 parts of a $$\frac{1}{4}\text{ kg}$$ in $$1\frac{1}{2}$$ kg.