maths question need help?

if u want a formula for solving this type of problems without having any knowledge of algebra;

then

fraction form=[(write numbers removing decimal point up to 1st occurrence of repeating digits) -- (write numbers before occurrence of repeating digits removing decimal point)]/[write no of 9s same no of repeating digits and no of 0s same no of non repeating digits after decimal point]

for ur problem

it is

fraction form=(10754-107)/(9900)

simplifying (10647)/9900

=1183/1100

Let x = 1.075454...

100x = 107.545454....

10000x = 10754.54545454

10000x- 100x = 10754.545454... - 107.5454....

9900x = 10647 {note all the .545454... up to infinity cancel out so we have a whole number now}

x = 10647/9900

That's a lot of nines, I'm going to experiment by dividing 10647 by 9 if it comes out to a whole number that will help simplify the fraction.

x = 1183/1100

hope this helps.

take your number as X. Now multiply X wid 100.You get 100X = 107.545454...

Next Multiply X wid 10000. You get 10000X = 10754.545454...

subtract both . you get 10000X-100X =10754.545454..-107.545454..which means 9900X = 10647.

so X is 10647/9900.

basically in such questions you have to eliminate the repeating decimal by multiplying and subtracting suitably.

and the choice of 100 and 10000 is because of this.

sol'n:

hmm....

1.07545454545454545454545454

1 + .0754 <---- 4 is in ten thousandths place

1 + (754/10000) <---- therefore the 754 is divided by 10,000, zero in tenths place is not counted

result is 1.0754, just add 545454 for infinity

1 (754/10000).. change into improper fraction..

1*(10,000)] + 754 = 10,754 <--- numerator

then copy the denominator 10,000.. it will become (10,754/10,000) <--- answer

Edit: lowest term, divide both numerator and denominator by 2... (5,377/5000)

hope that helps! ;)

I hope you learnt your algebra well.

Let 1.075454545454 = x

10000x = 10754.5454545454

100x = 107.545454545454

9900x = 10754.5454545454 - 107.5454545454

= 10647

9900x = 10647

x = 10647/9900

let x=1.07545454...

multiplying both sides by 100,

100x=107.545454... eq.1

now multiplying by 100 again,

10000x=10754.545454... eq.2

now subtracting eq.1 from eq.2....

10000x-100x=(10754.545454...) - (107.545454...)

9900x = 10647

x=10647/9900 = 1183/1100

= 107545/100000

= 21509/20000

= 1 1509/20000

go to wolfram aplha.