Multiples of Fractions

Concept

A fraction represents a part of a whole.
Change the whole number to a fraction $\fn_phv a=\frac{a}{1}$
The same process is used when multiplying two or more fractions

Rules

To multiply fractions by a whole number:
1. Change the whole number to a fraction.
2. Simplify the fractions by dividing by their greatest common factor (GCF) one at a time.
3. Reduce them in the simplest form.
4. Multiply the fractions.
5. Rewrite the answer as a mixed number if possible.

Example

Multiply:
$Multiples of Fractions example$

Solution

1. Change each number to a fraction.
$\fn_phv \frac{2}{3}\times {\color{Red} \frac{9}{1}}$
2. Simplify the fractions by dividing by their greatest common factor (GCF) one at a time.
Divide by 3:
$\fn_phv \frac{2}{3{\color{Red} \div3 }}\times \frac{9{\color{Red} \div3 }}{1}=\frac{2}{{\color{Red} 1}}\times \frac{{\color{Red} 3}}{1}$
3. Multiply the fractions.
$\fn_phv \frac{2}{1}\times \frac{3}{1}=\frac{2\times3 }{1\times 1}={\color{Red} \frac{6}{1}=6}$