Answer :
To convert [tex]$0.48$[/tex] to a fraction in simplest form, follow these steps:
1. Express the decimal as a fraction. Since there are two digits after the decimal point, we have:
[tex]$$
0.48 = \frac{48}{100}.
$$[/tex]
2. Find the greatest common divisor (gcd) of the numerator and the denominator. The gcd of [tex]$48$[/tex] and [tex]$100$[/tex] is [tex]$4$[/tex].
3. Divide both the numerator and the denominator by the gcd to simplify the fraction:
[tex]$$
\frac{48}{100} = \frac{48 \div 4}{100 \div 4} = \frac{12}{25}.
$$[/tex]
4. The fraction [tex]$\frac{12}{25}$[/tex] is already in simplest form since [tex]$12$[/tex] and [tex]$25$[/tex] have no common factors other than [tex]$1$[/tex].
Thus, the fraction [tex]$0.48$[/tex] written in simplest form is:
[tex]$$
\frac{12}{25}.
$$[/tex]
1. Express the decimal as a fraction. Since there are two digits after the decimal point, we have:
[tex]$$
0.48 = \frac{48}{100}.
$$[/tex]
2. Find the greatest common divisor (gcd) of the numerator and the denominator. The gcd of [tex]$48$[/tex] and [tex]$100$[/tex] is [tex]$4$[/tex].
3. Divide both the numerator and the denominator by the gcd to simplify the fraction:
[tex]$$
\frac{48}{100} = \frac{48 \div 4}{100 \div 4} = \frac{12}{25}.
$$[/tex]
4. The fraction [tex]$\frac{12}{25}$[/tex] is already in simplest form since [tex]$12$[/tex] and [tex]$25$[/tex] have no common factors other than [tex]$1$[/tex].
Thus, the fraction [tex]$0.48$[/tex] written in simplest form is:
[tex]$$
\frac{12}{25}.
$$[/tex]