Question

Which fraction represents the decimal 0. 8888. ? StartFraction 80 Over 99 EndFraction StartFraction 1,111 Over 1,250 EndFraction Eight-ninths Nine-eighths.

Answer 1

Decimals are obtained if fraction is solved even if there is remainder in division. The fraction representing the decimal 0.8888 is :$\dfrac{1111}{1250}$

How to convert from decimal to fraction?

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example: $0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}$

(10 raised to power k = 1 followed by k zeroes)

For the given case,  the decimal 0.8888 is converted to fraction as shown below.

As in 0.8888, there are 4 digits after decimal point so, we write numerator as 8888, and denominator as 10000, thus,

$0.8888 = \dfrac{8888}{10000}$

Now, we can cancel out the common factors in both numerators and denominators.

Thus, $0.8888 = \dfrac{8888}{10000} = \dfrac{1111}{1250}$

(canceled the common factor 8)

Therefore, the fraction representing the decimal 0.8888 is :$\dfrac{1111}{1250}$

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