Answer :
To solve the problem of converting [tex]\(\frac{12}{25}\)[/tex] into a decimal and a percent, let's go through the steps in detail:
1. Convert the Fraction to a Decimal:
- To convert [tex]\(\frac{12}{25}\)[/tex] into a decimal, you simply divide the numerator (12) by the denominator (25).
- When you do the division, [tex]\(12 \div 25 = 0.48\)[/tex].
- So, [tex]\(\frac{12}{25}\)[/tex] as a decimal is [tex]\(0.48\)[/tex].
2. Convert the Decimal to a Percent:
- To convert a decimal to a percent, you multiply the decimal by 100. This is because "percent" means "per hundred."
- So, take [tex]\(0.48\)[/tex] and multiply it by 100: [tex]\(0.48 \times 100 = 48\)[/tex].
- Therefore, the decimal [tex]\(0.48\)[/tex] is equal to [tex]\(48\%\)[/tex] when expressed as a percent.
Thus, [tex]\(\frac{12}{25}\)[/tex] as a decimal is [tex]\(0.48\)[/tex] and as a percent, it is [tex]\(48\%\)[/tex]. The correct answer among the given choices is:
0.48 and [tex]\(48\%\)[/tex].
1. Convert the Fraction to a Decimal:
- To convert [tex]\(\frac{12}{25}\)[/tex] into a decimal, you simply divide the numerator (12) by the denominator (25).
- When you do the division, [tex]\(12 \div 25 = 0.48\)[/tex].
- So, [tex]\(\frac{12}{25}\)[/tex] as a decimal is [tex]\(0.48\)[/tex].
2. Convert the Decimal to a Percent:
- To convert a decimal to a percent, you multiply the decimal by 100. This is because "percent" means "per hundred."
- So, take [tex]\(0.48\)[/tex] and multiply it by 100: [tex]\(0.48 \times 100 = 48\)[/tex].
- Therefore, the decimal [tex]\(0.48\)[/tex] is equal to [tex]\(48\%\)[/tex] when expressed as a percent.
Thus, [tex]\(\frac{12}{25}\)[/tex] as a decimal is [tex]\(0.48\)[/tex] and as a percent, it is [tex]\(48\%\)[/tex]. The correct answer among the given choices is:
0.48 and [tex]\(48\%\)[/tex].