Question

Convert the following decimals into fraction
0.888888.........

Answer 1

Answer:

$x = \frac{8}{9}$

Step-by-step explanation:

$let \: x \: = 0.8888888.... \: \: (1)\\ \\ muliply \: 10 \: on \: the \: both \: sides \\ \\ 10x = 8.888888... \: \: \: \: (2) \\ \\ now \: \:subtract \: the \: equations \\ \\ 9x = 8 \\ \\ x = \frac{8}{9}$

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Answer 2

Answer:

To write 0.888888 as a fraction you have to write 0.888888 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.888888 = 0.888888/1 = 8.88888/10 = 88.8888/100 = 888.888/1000 = 8888.88/10000 = 88888.8/100000 = 888888/1000000

And finally we have:

0.888888 as a fraction equals 888888/1000000

                                                   OR

L e t  x  =  0.88888...    

100 x  =  88.8888 ... .  

99 x   = 88.8888 ... . − 0.8888... . =  88

x =  88 /99

Step-by-step explanation:

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