Answer :
To write 0.48 as a fraction in its lowest terms, follow these steps:
1. Convert the Decimal to a Fraction:
- Start with 0.48. This can be expressed as the fraction [tex]\(\frac{48}{100}\)[/tex] because the decimal 0.48 means 48 hundredths.
2. Simplify the Fraction:
- To simplify [tex]\(\frac{48}{100}\)[/tex], find the greatest common divisor (GCD) of the numerator (48) and the denominator (100).
3. Find the GCD of 48 and 100:
- The divisors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
- The divisors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100.
- The greatest common divisor of 48 and 100 is 4.
4. Divide Both the Numerator and the Denominator by the GCD:
- Divide 48 by 4 to get 12.
- Divide 100 by 4 to get 25.
5. Write the Simplified Fraction:
- After simplifying, the fraction becomes [tex]\(\frac{12}{25}\)[/tex].
Therefore, 0.48 written as a fraction in its lowest terms is [tex]\(\frac{12}{25}\)[/tex].
The correct option is D) [tex]\(\frac{12}{25}\)[/tex].
1. Convert the Decimal to a Fraction:
- Start with 0.48. This can be expressed as the fraction [tex]\(\frac{48}{100}\)[/tex] because the decimal 0.48 means 48 hundredths.
2. Simplify the Fraction:
- To simplify [tex]\(\frac{48}{100}\)[/tex], find the greatest common divisor (GCD) of the numerator (48) and the denominator (100).
3. Find the GCD of 48 and 100:
- The divisors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
- The divisors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100.
- The greatest common divisor of 48 and 100 is 4.
4. Divide Both the Numerator and the Denominator by the GCD:
- Divide 48 by 4 to get 12.
- Divide 100 by 4 to get 25.
5. Write the Simplified Fraction:
- After simplifying, the fraction becomes [tex]\(\frac{12}{25}\)[/tex].
Therefore, 0.48 written as a fraction in its lowest terms is [tex]\(\frac{12}{25}\)[/tex].
The correct option is D) [tex]\(\frac{12}{25}\)[/tex].