Question

Write in Simpiles form 0.35

Answer 1

Answer:

$\frac{7}{20}$  is the simple form of 0.35.

i.e.

$0.35\:=\frac{7}{20}$

Step-by-step explanation:

Considering the decimal number

$0.35\:\:$

First lets convert it into a fraction

$0.35\:\:$

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.

$=\frac{0.35\cdot \:100}{100}$

$=\frac{35}{100}$

Now reduce the fraction $\frac{35}{100}$ into a simple form

$\mathrm{Find\:a\:common\:factor\:of\:}35\mathrm{\:and\:}100\mathrm{\:in\:order\:to\:cancel\:it\:out}\:$

as

$\mathrm{Greatest\:Common\:Divisor\:of\:}35,\:100:\quad 5$

$\mathrm{Factor\:out\:}5\mathrm{\:from\:the\:numerator\:and\:the\:denominator}$

$35=5\cdot \:7\mathrm{,\:\quad }100=5\cdot \:20$

$\frac{35}{100}=\frac{5\cdot \:\:7}{5\cdot \:\:20}$

     $=\frac{5\cdot \:7}{5\cdot \:20}$

$\mathrm{Cancel\:the\:common\:factor:}\:5$

     $=\frac{7}{20}$

so

$\frac{35}{100}=\frac{7}{20}$

Therefore,

$\frac{7}{20}$  is the simple form of 0.35.

i.e.

$0.35\:=\frac{7}{20}$