Answer :
To find the simplified fractional equivalent of the terminating decimal 0.68, we start by expressing it as a fraction:
1. Write the Decimal as a Fraction:
The decimal 0.68 can be written as the fraction [tex]\(\frac{68}{100}\)[/tex] because 0.68 means 68 hundredths.
2. Simplify the Fraction:
To simplify [tex]\(\frac{68}{100}\)[/tex], we need to divide both the numerator (68) and the denominator (100) by their greatest common divisor (GCD).
3. Find the GCD of 68 and 100:
The greatest common divisor of 68 and 100 is 4.
4. Divide Both the Numerator and Denominator by the GCD:
- Divide 68 by 4 to get 17.
- Divide 100 by 4 to get 25.
5. Write the Simplified Fraction:
Thus, the simplified fraction is [tex]\(\frac{17}{25}\)[/tex].
Therefore, the simplified fractional equivalent of the decimal 0.68 is [tex]\(\frac{17}{25}\)[/tex].
1. Write the Decimal as a Fraction:
The decimal 0.68 can be written as the fraction [tex]\(\frac{68}{100}\)[/tex] because 0.68 means 68 hundredths.
2. Simplify the Fraction:
To simplify [tex]\(\frac{68}{100}\)[/tex], we need to divide both the numerator (68) and the denominator (100) by their greatest common divisor (GCD).
3. Find the GCD of 68 and 100:
The greatest common divisor of 68 and 100 is 4.
4. Divide Both the Numerator and Denominator by the GCD:
- Divide 68 by 4 to get 17.
- Divide 100 by 4 to get 25.
5. Write the Simplified Fraction:
Thus, the simplified fraction is [tex]\(\frac{17}{25}\)[/tex].
Therefore, the simplified fractional equivalent of the decimal 0.68 is [tex]\(\frac{17}{25}\)[/tex].
