To convert the decimal 1.7 into a fraction, follow these steps:
1. Identify the decimal and the position of the decimal point:
- The decimal given is 1.7.
2. Write the decimal as a fraction:
- To convert 1.7 to a fraction, express it as [tex]\( \frac{1.7}{1} \)[/tex].
3. Eliminate the decimal point:
- Multiply both the numerator and the denominator by 10 to move the decimal point one place to the right.
- This results in [tex]\( \frac{1.7 \times 10}{1 \times 10} = \frac{17}{10} \)[/tex].
4. Simplify the fraction:
- In this specific case, 17 and 10 do not have any common factors other than 1, so [tex]\( \frac{17}{10} \)[/tex] is already in its simplest form.
5. Express the decimal in terms of its exact fractional representation:
- Given that [tex]\(1.7\)[/tex] can be represented more precisely, it converts into the fraction [tex]\( \frac{7656119366529843}{4503599627370496} \)[/tex].
Thus, the decimal 1.7 is exactly represented as the fraction [tex]\( \frac{7656119366529843}{4503599627370496} \)[/tex].
So, the final answer is:
[tex]\[ 1.7 = \frac{7656119366529843}{4503599627370496} \][/tex]
