Question

convert 0.16% and 5 interger 2/3% into fraction and decimal step by step​

Answer 1

Answer:

Explanation:

y = 0.16666.

Multiply by 10: 10y = 1.66666.. = 1 + 0.6666...=

1

+

2

3

=

5

3

.

Divide by 10:

y

=

5

3

×

1

10

=

5

30

=

6

=

1

6

Explanation:

First multiply by

10

(

10

−

1

)

=

(

100

−

10

)

to get an integer.

The first multiplier of

10

is to shift the decimal representation one place to the left, so the repeating section begins just after the decimal point. Then the

(

10

−

1

)

multiplier is used to shift the digits one more place to the left (the length of the repeating pattern) and subtract the original to cancel the repeating tail.

(

100

−

10

)

⋅

0.1

¯

6

=

16

.

¯

6

−

1

.

¯

6

=

15

Then divide both ends by

(

100

−

10

)

and simplify:

0.1

¯

6

=

15

100

−

10

=

15

90

=

1

⋅

15

6

⋅

15

=

1

6

Answer 2

Answer:

1/6 is the answer

I think the answer is right