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Viefleur [7K]
3 years ago
8

Write four greatest unit fractions that are repeating decimals

Mathematics
2 answers:
balandron [24]3 years ago
7 0
1/3- 0.333333
1/6- 0.166666
1/7- 0.142857....0142857....0142857
1/9-0.1111111
I hope this helps
lutik1710 [3]3 years ago
4 0

Answer:

\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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