Question
Write 6.4 as a fraction in simplified form.
Answers
GPT-4o mini
To convert the decimal 6.4 to a fraction, follow these steps:
1. Write 6.4 as a fraction:
\[
6.4 = \frac{64}{10}
\]
(Here, we place 64 over 10 since there is one digit after the decimal point.)
2. Simplify the fraction \(\frac{64}{10}\). To do this, find the greatest common divisor (GCD) of 64 and 10. The GCD is 2.
3. Divide both the numerator and the denominator by their GCD:
\[
\frac{64 \div 2}{10 \div 2} = \frac{32}{5}
\]
Thus, the simplified form of 6.4 as a fraction is:
\[
\frac{32}{5}
\]
1. Write 6.4 as a fraction:
\[
6.4 = \frac{64}{10}
\]
(Here, we place 64 over 10 since there is one digit after the decimal point.)
2. Simplify the fraction \(\frac{64}{10}\). To do this, find the greatest common divisor (GCD) of 64 and 10. The GCD is 2.
3. Divide both the numerator and the denominator by their GCD:
\[
\frac{64 \div 2}{10 \div 2} = \frac{32}{5}
\]
Thus, the simplified form of 6.4 as a fraction is:
\[
\frac{32}{5}
\]