Answer :
To convert the decimal 0.48 to a fraction and simplify it, follow these steps:
1. Write the decimal as a fraction with 1 as the denominator.
- 0.48 can be written as [tex]\(\frac{0.48}{1}\)[/tex].
2. Eliminate the decimal point by multiplying the numerator and the denominator by 100.
- Moving the decimal point two places to the right is the same as multiplying by 100. Therefore, [tex]\(\frac{0.48}{1} \times \frac{100}{100} = \frac{48}{100}\)[/tex].
3. Simplify the fraction [tex]\(\frac{48}{100}\)[/tex].
- Find the greatest common divisor (GCD) of 48 and 100. The GCD is 4.
- Divide both the numerator and the denominator by their GCD:
- [tex]\(\frac{48 \div 4}{100 \div 4} = \frac{12}{25}\)[/tex].
So, 0.48 as a fraction in its simplest form is [tex]\(\frac{12}{25}\)[/tex].
1. Write the decimal as a fraction with 1 as the denominator.
- 0.48 can be written as [tex]\(\frac{0.48}{1}\)[/tex].
2. Eliminate the decimal point by multiplying the numerator and the denominator by 100.
- Moving the decimal point two places to the right is the same as multiplying by 100. Therefore, [tex]\(\frac{0.48}{1} \times \frac{100}{100} = \frac{48}{100}\)[/tex].
3. Simplify the fraction [tex]\(\frac{48}{100}\)[/tex].
- Find the greatest common divisor (GCD) of 48 and 100. The GCD is 4.
- Divide both the numerator and the denominator by their GCD:
- [tex]\(\frac{48 \div 4}{100 \div 4} = \frac{12}{25}\)[/tex].
So, 0.48 as a fraction in its simplest form is [tex]\(\frac{12}{25}\)[/tex].