Answer:
[tex]\frac{1}{3},\,\frac{1}{6},\,\frac{1}{7},\,\frac{1}{9}[/tex]
Step-by-step explanation:
A fraction is of form [tex]\frac{a}{b}[/tex] where a is the numerator and b is the denominator. A fraction is said to be unit fraction if numerator = a = 1.
A decimal number in which there are repeating digits after decimal are known as repeating decimals numbers.
Here, we need to find four greatest unit fractions that are repeating decimals.
1 .[tex]\frac{1}{3}=0.\overline{3}[/tex]
It's a unit fraction as numerator = 1
Repeating decimal as 3 is the repeating digit after decimal.
2.[tex]\frac{1}{6}=0.1\overline{6}[/tex]
It's a unit fraction as numerator = 1
Repeating decimal as 6 is the repeating digit after decimal.
3.[tex]\frac{1}{7}=0.\overline{142857}[/tex]
It's a unit fraction as numerator = 1
Repeating decimal as 142857 is the repeating number after decimal.
4.[tex]\frac{1}{9}=0.\overline{1}[/tex]
It's a unit fraction as numerator = 1
Repeating decimal as 1 is the repeating digit after decimal.
