Question

I NEED HELP LIKE NOWW!!

Solve and show your work for each question.
A. What is 0(.48) ̅ expressed as a fraction in simplest form? (the 48 has a line over it)
B. What is 0.48 ̅ expressed as a fraction in simplest form? ( the 8 has a line over it)
C. What is 0.48 expressed as a fraction in simplest form? ( there is no line)
Answer:

Answer 1

0.48

Explanation:

C

Answer 2

see explanation

Explanation:

We require 2 equations with the repeating decimal placed after the decimal point.

A

Note that 48 with a bar over it indicates 48 is repeated, that is

0.484848........

let x = 0.48.... → (1) multiply both sides by 100

100x = 48.48..... → (2)

Subtract (1) from (2) to eliminate the repeating decimal

99x = 48 ( divide both sides by 99 )

x =
`(48)/(99)`

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B

note that this time we have 0.4888888......

let x = 0.488.. ( multiply both sides by 10, then 100

10x = 4.8888... → (1)

100x = 48.8888.... → (2)

Subtract (1 ) from (2) to eliminate the repeating decimal

90x = 44 ( divide both sides by 90 )

x =
`(44)/(90)` =
`(22)/(45)`

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C

0.48 =
`(48)/(100)` =
`(12)/(25)` ← in simplest form