Convert into vulgar fraction:
2.136.
Answers
Answered by
0
Answer:
2136÷1000 is vulgar fraction
Answered by
0
Answer:
2.136 = 47÷22
Step-by-step explanation:
vulgar?
There is a notation for repeating decimals that places a bar above the repeating pattern.
Using that notation, the original decimal representation is written:
2.1
¯¯¯¯
36
To make this into an integer, multiply by
10
(
100
−
1
)
=
1000
−
10
. The factor
10
here is to shift the repeating section to just after the decimal point. the factor
(
100
−
1
)
shifts the number by an additional
2
places (the length of the repeating pattern) and subtracts the original number to cancel out the repeating part:
(
1000
−
10
)
⋅
2.1
¯¯¯¯
36
=
2136
.
¯¯¯¯
36
−
21
.
¯¯¯¯
36
=
2115
Then divide both sides by
(
1000
−
10
)
and simplify to find:
2.1
¯¯¯¯
36
=
2115
1000
−
10
=
2115
990
=
3
⋅
3
⋅
5
⋅
47
3
⋅
3
⋅
5
⋅
22
=
47
22
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