Question

Write four greatest unit fractions that are repeating decimals

Answer 1

1/3- 0.333333
1/6- 0.166666
1/7- 0.142857....0142857....0142857
1/9-0.1111111
I hope this helps

Answer 2

`(1)/(3),\,(1)/(6),\,(1)/(7),\,(1)/(9)`

Explanation:

A fraction is of form
`(a)/(b)` 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 .
`(1)/(3)=0.\overline{3}`

It's a unit fraction as numerator = 1

Repeating decimal as 3 is the repeating digit after decimal.

2.
`(1)/(6)=0.1\overline{6}`

It's a unit fraction as numerator = 1

Repeating decimal as 6 is the repeating digit after decimal.

3.
`(1)/(7)=0.\overline{142857}`

It's a unit fraction as numerator = 1

Repeating decimal as 142857 is the repeating number after decimal.

4.
`(1)/(9)=0.\overline{1}`

It's a unit fraction as numerator = 1

Repeating decimal as 1 is the repeating digit after decimal.