Answer:
The simplest form of the fraction [tex]\frac{45}{100}[/tex] is [tex]\frac{9}{20}[/tex].
i.e.
[tex]\frac{45}{100}=\frac{9}{20}[/tex]
Step-by-step explanation:
Here are some simple observations regarding how to reduce a fraction into simpler terms:
- A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.
- In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .
So, lets take a sample fraction and reduce into simpler terms.
Considering the fraction
[tex]\frac{45}{100}[/tex]
[tex]\mathrm{Find\:a\:common\:factor\:of\:}45\mathrm{\:and\:}100\mathrm{\:in\:order\:to\:cancel\:it\:out}[/tex]
[tex]\mathrm{Greatest\:Common\:Divisor\:of\:}45,\:100:\quad 5[/tex]
[tex]\mathrm{Factor\:out\:}5\mathrm{\:from\:the\:numerator\:and\:the\:denominator}[/tex]
[tex]45=5\cdot \:9\mathrm{,\:\quad }100=5\cdot \:20[/tex]
so
[tex]\frac{45}{100}=\frac{5\cdot \:\:9}{5\cdot \:\:20}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]
[tex]=\frac{9}{20}[/tex]
Therefore, the simplest form of the fraction [tex]\frac{45}{100}[/tex] is [tex]\frac{9}{20}[/tex].
i.e.
[tex]\frac{45}{100}=\frac{9}{20}[/tex]
