Question

give me the answers in full explanation.​

Answer 1

Answer:

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Answer 2

Answer:

There is a nifty short cut method to change recurring decimals into fractions:

If all the digits recur

Write a fraction as :

the recurring digit(s)

9

for each recurring digit

Then simplify if possible to get simplest form.

0.55555

...

.

.

=

0

.

¯

5

=

5

9

0.272727

...

=

0

.

¯¯¯¯

27

=

27

99

=

3

11

0

.

¯¯¯¯

32

=

32

99

3

.

¯¯¯¯¯¯

732

=

3

732

999

=

3

244

333

If only some digits recur

Write a fraction as:

all the digits - non-recurring digits

9

for each recurring

and

0

for each non-recurring digit

0.654444

...

=

0.65

¯

4

=

654

−

65

900

=

589

900

0.85

¯¯¯¯¯¯

271

=

85271

−

85

99900

=

85186

99900

=

42593

49950

4.167

¯

4

=

4

1673

−

167

9000

=

4

1506

9000

=

4

251

1500