Question

convert the following into recurring decimals 2.3 24​

Answer 1

Answer:

1)2.3

24

=

990

2301

2)0.

81

=

99

81

Step-by-step explanation:

1) Let x = 2.3\overline {24}2.3

24

Numerator = 324 - 3 = 321

Denominator = 2 nines (as there are two recurring digits) followed by 1 zero( as there is one non-recurring digit) = 990

Hence, 2.3\overline {24} = 2\frac{321}{990} = \frac{2301}{990}2.3

24

=2

990

321

=

990

2301

2) Let x = 0.\overline{81}0.

81

Numerator = 81 - 0 = 81

Denominator = 2 nines (as there are two recurring digits)

Hence, 0.\overline{81} = \frac{81}{99}0.

81

=

99

81

Step-by-step explanation:

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