Answer:
[tex]\frac{7}{20}[/tex] is the simple form of 0.35.
i.e.
[tex]0.35\:=\frac{7}{20}[/tex]
Step-by-step explanation:
Considering the decimal number
[tex]0.35\:\:[/tex]
First lets convert it into a fraction
[tex]0.35\:\:[/tex]
Multiply and divide by 10 for every number after the decimal point.
There are two digits to the right of the decimal point, therefore multiply and divide by 100.
[tex]=\frac{0.35\cdot \:100}{100}[/tex]
[tex]=\frac{35}{100}[/tex]
Now reduce the fraction [tex]\frac{35}{100}[/tex] into a simple form
[tex]\mathrm{Find\:a\:common\:factor\:of\:}35\mathrm{\:and\:}100\mathrm{\:in\:order\:to\:cancel\:it\:out}\:[/tex]
as
[tex]\mathrm{Greatest\:Common\:Divisor\:of\:}35,\:100:\quad 5[/tex]
[tex]\mathrm{Factor\:out\:}5\mathrm{\:from\:the\:numerator\:and\:the\:denominator}[/tex]
[tex]35=5\cdot \:7\mathrm{,\:\quad }100=5\cdot \:20[/tex]
[tex]\frac{35}{100}=\frac{5\cdot \:\:7}{5\cdot \:\:20}[/tex]
[tex]=\frac{5\cdot \:7}{5\cdot \:20}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]
[tex]=\frac{7}{20}[/tex]
so
[tex]\frac{35}{100}=\frac{7}{20}[/tex]
Therefore,
[tex]\frac{7}{20}[/tex] is the simple form of 0.35.
i.e.
[tex]0.35\:=\frac{7}{20}[/tex]
