College

Write [tex]\frac{12}{25}[/tex] as a decimal and as a percent.

A. 4.8 and [tex]480 \%[/tex]

B. 0.48 and [tex]4.8 \%[/tex]

C. 0.12 and [tex]12 \%[/tex]

D. 0.48 and [tex]48 \%[/tex]

Answer :

Sure, let's solve the problem step-by-step!

### Converting the fraction [tex]\(\frac{12}{25}\)[/tex] to a decimal:

1. Divide the numerator by the denominator:
[tex]\[
\frac{12}{25} = 12 \div 25 = 0.48
\][/tex]

So, [tex]\(\frac{12}{25}\)[/tex] as a decimal is [tex]\(0.48\)[/tex].

### Converting the decimal [tex]\(0.48\)[/tex] to a percent:

1. Multiply the decimal by 100 to convert it to a percent:
[tex]\[
0.48 \times 100 = 48
\][/tex]

So, [tex]\(0.48\)[/tex] as a percent is [tex]\(48\%\)[/tex].

Therefore, the correct answer is:
[tex]\[
\text{0.48 and 48%}
\][/tex]

The option that matches this solution is:
[tex]\[
\boxed{0.48 \text{ and } 48\%}
\][/tex]