Ineed like
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)

see explanation

Step-by-step 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 =

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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 = =

--------------------------------------------------------------------------

C

0.48 = = ← in simplest form

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19