Write four greatest unit fractions that are repeating

Ответ:

cjones2941

05.01.2022

$\frac{1}{3},\,\frac{1}{6},\,\frac{1}{7},\,\frac{1}{9}$

Step-by-step explanation:

A fraction is of form $\frac{a}{b}$ 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 . $\frac{1}{3}=0.\overline{3}$

It's a unit fraction as numerator = 1

Repeating decimal as 3 is the repeating digit after decimal.

2. $\frac{1}{6}=0.1\overline{6}$

It's a unit fraction as numerator = 1

Repeating decimal as 6 is the repeating digit after decimal.

3. $\frac{1}{7}=0.\overline{142857}$

It's a unit fraction as numerator = 1

Repeating decimal as 142857 is the repeating number after decimal.

4. $\frac{1}{9}=0.\overline{1}$

It's a unit fraction as numerator = 1

Repeating decimal as 1 is the repeating digit after decimal.

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