Answer :
To write 0.48 as a fraction in its lowest terms, follow these steps:
1. Start with the decimal: We have 0.48.
2. Convert the decimal to a fraction: To get rid of the decimal point, think of 0.48 as 48/100 because 0.48 is the same as 48 hundredths.
3. Simplify the fraction: The fraction 48/100 can be simplified.
- Find the greatest common divisor (GCD): The first step is to find the largest number that divides both 48 and 100 evenly. In this case, the GCD of 48 and 100 is 4.
- Divide both the numerator and the denominator by the GCD:
- Divide the numerator (48) by 4 and you get 12.
- Divide the denominator (100) by 4 and you get 25.
4. Write the simplified fraction: After simplifying, 0.48 as a fraction in its lowest terms is [tex]\(\frac{12}{25}\)[/tex].
So, the correct answer is D) [tex]\(\frac{12}{25}\)[/tex].
1. Start with the decimal: We have 0.48.
2. Convert the decimal to a fraction: To get rid of the decimal point, think of 0.48 as 48/100 because 0.48 is the same as 48 hundredths.
3. Simplify the fraction: The fraction 48/100 can be simplified.
- Find the greatest common divisor (GCD): The first step is to find the largest number that divides both 48 and 100 evenly. In this case, the GCD of 48 and 100 is 4.
- Divide both the numerator and the denominator by the GCD:
- Divide the numerator (48) by 4 and you get 12.
- Divide the denominator (100) by 4 and you get 25.
4. Write the simplified fraction: After simplifying, 0.48 as a fraction in its lowest terms is [tex]\(\frac{12}{25}\)[/tex].
So, the correct answer is D) [tex]\(\frac{12}{25}\)[/tex].