the simplest rational form of 1.13bar + 0.3bar is
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Step-by-step 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