Respuesta :
Answer:
$3 25/99
Step-by-step explanation:
100 * 0.252525 = 25.2525..
1 * 0.252525. = 00.252525..
Subtract
99 * 0.252525.. = 25
The repeating decimal cost as a fraction and as a mixed number is [tex]3\dfrac{130101}{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
⇒ 3.252525
Rewrite the decimal number as a fraction with 1 in the denominator
⇒ [tex]\dfrac{3.252525}{1}[/tex]
Multiply to remove 6 decimal places. Here, you multiply top and bottom by 10⁶ = 1000000
⇒ [tex]\dfrac{3.252525}{1} \times \dfrac{1000000}{1000000} = \dfrac{3252525}{1000000}[/tex]
Determine the Greatest Common Factor (GCF) of 3252525 and 1000000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25,
⇒ 3252525÷ 25
⇒ 1000000 ÷ 25
⇒ [tex]\dfrac{130101}{40000}[/tex]
Simplify the improper fraction,
⇒ [tex]3\dfrac{130101}{40000}[/tex]
Hence, the repeating decimal cost as a fraction and as a mixed number is [tex]3\dfrac{130101}{40000}[/tex]
Learn more about the fraction here:
brainly.com/question/10354322
#SPJ2
