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Answer :
Let's convert each number into a fraction in simplest form.
1. For the number [tex]$1.64$[/tex], first write it as a fraction over a power of 10:
[tex]$$1.64 = \frac{164}{100}.$$[/tex]
Then, simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is [tex]$4$[/tex]. This gives:
[tex]$$\frac{164 \div 4}{100 \div 4} = \frac{41}{25}.$$[/tex]
2. The number [tex]$64$[/tex] is an integer. Any integer can be written as a fraction with denominator [tex]$1$[/tex]:
[tex]$$64 = \frac{64}{1}.$$[/tex]
3. The number [tex]$1100$[/tex] is also an integer:
[tex]$$1100 = \frac{1100}{1}.$$[/tex]
4. The number [tex]$13$[/tex] is an integer:
[tex]$$13 = \frac{13}{1}.$$[/tex]
5. The number [tex]$16$[/tex] is an integer:
[tex]$$16 = \frac{16}{1}.$$[/tex]
6. The number [tex]$25$[/tex] is an integer:
[tex]$$25 = \frac{25}{1}.$$[/tex]
7. The expression [tex]$1/64$[/tex] is already given as a fraction, and it is in simplest form:
[tex]$$\frac{1}{64}.$$[/tex]
Thus, the fractions in simplest form are:
[tex]$$\left(\frac{41}{25}, \frac{64}{1}, \frac{1100}{1}, \frac{13}{1}, \frac{16}{1}, \frac{25}{1}, \frac{1}{64}\right).$$[/tex]
1. For the number [tex]$1.64$[/tex], first write it as a fraction over a power of 10:
[tex]$$1.64 = \frac{164}{100}.$$[/tex]
Then, simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is [tex]$4$[/tex]. This gives:
[tex]$$\frac{164 \div 4}{100 \div 4} = \frac{41}{25}.$$[/tex]
2. The number [tex]$64$[/tex] is an integer. Any integer can be written as a fraction with denominator [tex]$1$[/tex]:
[tex]$$64 = \frac{64}{1}.$$[/tex]
3. The number [tex]$1100$[/tex] is also an integer:
[tex]$$1100 = \frac{1100}{1}.$$[/tex]
4. The number [tex]$13$[/tex] is an integer:
[tex]$$13 = \frac{13}{1}.$$[/tex]
5. The number [tex]$16$[/tex] is an integer:
[tex]$$16 = \frac{16}{1}.$$[/tex]
6. The number [tex]$25$[/tex] is an integer:
[tex]$$25 = \frac{25}{1}.$$[/tex]
7. The expression [tex]$1/64$[/tex] is already given as a fraction, and it is in simplest form:
[tex]$$\frac{1}{64}.$$[/tex]
Thus, the fractions in simplest form are:
[tex]$$\left(\frac{41}{25}, \frac{64}{1}, \frac{1100}{1}, \frac{13}{1}, \frac{16}{1}, \frac{25}{1}, \frac{1}{64}\right).$$[/tex]
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