Answer:
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 = [tex]\frac{48}{99}[/tex]
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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 = [tex]\frac{44}{90}[/tex] = [tex]\frac{22}{45}[/tex]
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C
0.48 = [tex]\frac{48}{100}[/tex] = [tex]\frac{12}{25}[/tex] ← in simplest form
