Answer:
[tex]0.46=\frac{23}{50}[/tex]
Step-by-step explanation:
To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:
Let x = [tex]\frac{0.46}{1}[/tex]
10x = [tex]10*\frac{0.46}{1} =\frac{4.6}{10}[/tex]
100x = [tex]100*\frac{0.46}{1}=\frac{46}{100}[/tex] this is our perfect fraction, now we simplify later
100x - 10x = [tex]\frac{46}{100} -\frac{4.6}{10}[/tex]
90x = [tex]\frac{46}{100} -\frac{4.6}{10} =0[/tex] this is to confirm both fractions are equal
x is the same as [tex]\frac{0.46}{1}[/tex] as [tex]\frac{4.6}{10}[/tex] as [tex]\frac{46}{100}[/tex] but here x = [tex]\frac{46}{100}[/tex] because a fraction has to have no decimals.
So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to [tex]\frac{46}{100} = \frac{23}{50}[/tex] here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)
