express the following in the form p/q, where p and q are integers and q is not equal to 0 . 0.54.
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Step-by-step explanation:
The required form is 0.5\bar4=\frac{49}{90}0.54ˉ=9049
Step-by-step explanation:
Given : Expression 0.5\bar40.54ˉ
To find : Express expression in the form of p/q and q is not equal to zero?
Solution :
Expression 0.5\bar40.54ˉ
Let x=0.5444x=0.5444 .(1)
Multiply both side by 10,
10x=5.444444...10x=5.4444442)
Subtract (1) and (2),
10x-x=(5.444444...)-(0.5444...)10x−x=(5.444444)−(0.5444
9x=4.99x=4.9
x=\frac{4.9}{9}x=94.9
x=\frac{49}{90}x=9049
Therefore, The required form is 0.5\bar4=\frac{49}{90}0.54ˉ=9049
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