Question

Write in
Simpiles form 0.35

Answer 1

`(7)/(20)` is the simple form of 0.35.

i.e.

`0.35\:=(7)/(20)`

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.

`=(0.35\cdot \:100)/(100)`

`=(35)/(100)`

Now reduce the fraction
`(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`

`(35)/(100)=(5\cdot \:\:7)/(5\cdot \:\:20)`

`=(5\cdot \:7)/(5\cdot \:20)`

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

`=(7)/(20)`

so

`(35)/(100)=(7)/(20)`

Therefore,

`(7)/(20)` is the simple form of 0.35.

i.e.

`0.35\:=(7)/(20)`