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Answer:
Step-by-step explanation:
First write down the decimal number divided by 1:
4.252525 divided by 1
As we have 6 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10^6 = 1000000, so that there is no decimal point in the numerator.
(4.252525 × 1000000) divided by (1 × 1000000)
= 4252525 /1000000
Since the greatest common factor of 4252525 and 1000000 is 25, we can simplify the fraction and show the same amount
4252525 ÷ 25
1000000 ÷ 25
= 170101 /40000
As the numerator is greater than the denominator, we have an improper fraction, so we can also express 4.252525 as a mixed number, thus 170101/40000 is equal:
4 10101 /40000
The repeating decimal cost as a fraction and as a mixed number is [tex]4\dfrac{10101}{40000}[/tex]
What is the fraction?
A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?
Arithmetic operations can also be specified by the addition, subtract, divide, and multiplying built-in functions.
Given number as
⇒ 4.252525
Rewrite the decimal number as a fraction with 1 in the denominator
⇒ [tex]\dfrac{4.252525}{1}[/tex]
Multiply to remove 6 decimal places. Here, you multiply top and bottom by 10⁶ = 1000000
⇒ [tex]\dfrac{4.252525}{1} \times \dfrac{1000000}{1000000} = \dfrac{4252525}{1000000}[/tex]
Determine the Greatest Common Factor (GCF) of 4252525 and 1000000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25,
⇒ 4252525 ÷ 25
⇒ 1000000 ÷ 25
⇒ [tex]\dfrac{170101 }{40000}[/tex]
Simplify the improper fraction,
⇒ [tex]4\dfrac{10101}{40000}[/tex]
Hence, the repeating decimal cost as a fraction and as a mixed number is [tex]4\dfrac{10101}{40000}[/tex]
Learn more about the fraction here:
brainly.com/question/10354322
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