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Write 0.00064 as a fraction in simplest form

Sagot :

Consider the given number,

[tex]0.00064[/tex]

As per the rule, remove the decimal from the numerator and put a 1 in the denominator. Now, the denominator of the fraction will have as many zeroes as there are number of digits in the decimal number.

Applying this rule,

[tex]0.00064=\frac{000064}{100000}[/tex]

Sice the leading zeroes does not make any sense, they can be dropped,

[tex]0.00064=\frac{64}{100000}[/tex]

Simplify the fraction by cancelling out by 32 (HCF of 64 and 100000),

[tex]0.00064=\frac{2}{3125}[/tex]

Thus, the required fraction is 2/3125 .