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Semmy [17]
3 years ago
15

Write in Simpiles form 0.35

Mathematics
1 answer:
Kruka [31]3 years ago
4 0

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}

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