Answer :

Geekhawk
To convert this to a fraction, you must change it to a mix fraction. "5" is a whole number itself so leave it alone. Since all decimals compare to one, you do it for .96. So now it is [tex] \frac{.96}{1} [/tex]. But you cannot have a fraction with decimals. So you then move the decimal two to the right so now it is 96 but what you do for the numerator, you do the same for the denominator. Now one is 100. So now it is [tex]5 \frac{96}{100} [/tex]. To change it to the lowest terms, you must find a common factor. So 2 goes into 96, 48 times and 2 goes into 100, 50 times so now it is 5 and [tex] \frac{48}{50} [/tex]. But it can be reduced. So now you divide each again by 2 which is now [tex] 5\frac{24}{25} [/tex]. The answer is [tex]5 \frac{24}{25}[/tex] in lowest terms
JeanaShupp

Answer: [tex]5.96=\frac{149}{25}[/tex] in simplest form.


Step-by-step explanation:

Given decimal number= 5.96

To write it in fraction, first multiply and divide it by 100, we get

[tex]5.96=\frac{5.96\times100}{100}[/tex]

Now, solve the numerator, we get

[tex]\Rightarrow5.96=\frac{596}{100}[/tex]

As 596 and 100 are multiples of 2 so divide both the numbers by 2, we get

[tex]\Rightarrow5.96=\frac{298}{50}[/tex]

Now, 298 and 50 are multiples of 2 so divide both the numbers by 2, we get

[tex]\Rightarrow5.96=\frac{149}{25}[/tex]

Now, 149 and 25 have no common factors except 1.

Therefore, [tex]5.96=\frac{149}{25}[/tex] in simplest form.