College

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

A. 0.12 and [tex]12 \%[/tex]
B. 0.48 and [tex]48 \%[/tex]
C. 0.48 and [tex]4.8 \%[/tex]
D. 4.8 and [tex]480 \%[/tex]

Answer :

To convert the fraction [tex]\(\frac{12}{25}\)[/tex] into a decimal and a percent, follow these steps:

1. Convert the fraction to a decimal:

To convert [tex]\(\frac{12}{25}\)[/tex] to a decimal, divide the numerator (12) by the denominator (25).

[tex]\[
12 \div 25 = 0.48
\][/tex]

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

2. Convert the decimal to a percent:

To convert a decimal to a percent, multiply the decimal by 100.

[tex]\[
0.48 \times 100 = 48
\][/tex]

So, 0.48 as a percent is 48%.

Therefore, [tex]\(\frac{12}{25}\)[/tex] is equal to 0.48 as a decimal and 48% as a percent. The correct choice from the options given is [tex]\(0.48\)[/tex] and [tex]\(48\%\)[/tex].