Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
To express the decimal number 0.004 as a simplified fraction, follow these steps:
1. Understand the Decimal:
The decimal number 0.004 is a small decimal less than 1.
2. Convert to a Fraction:
Write 0.004 as a fraction. The decimal 0.004 can be written as [tex]\(\frac{4}{1000}\)[/tex] because the decimal point moves three places to the right.
3. Simplify the Fraction:
Now, simplify the fraction [tex]\(\frac{4}{1000}\)[/tex]. To do this, find the greatest common divisor (GCD) of 4 and 1000.
The GCD of 4 and 1000 is 4.
Divide both the numerator and the denominator by their GCD:
[tex]\[ \frac{4 \div 4}{1000 \div 4} = \frac{1}{250} \][/tex]
Thus, the simplified fraction for 0.004 is [tex]\(\frac{1}{250}\)[/tex].
So, the correct answer is:
(b) [tex]\(\frac{1}{250}\)[/tex]
1. Understand the Decimal:
The decimal number 0.004 is a small decimal less than 1.
2. Convert to a Fraction:
Write 0.004 as a fraction. The decimal 0.004 can be written as [tex]\(\frac{4}{1000}\)[/tex] because the decimal point moves three places to the right.
3. Simplify the Fraction:
Now, simplify the fraction [tex]\(\frac{4}{1000}\)[/tex]. To do this, find the greatest common divisor (GCD) of 4 and 1000.
The GCD of 4 and 1000 is 4.
Divide both the numerator and the denominator by their GCD:
[tex]\[ \frac{4 \div 4}{1000 \div 4} = \frac{1}{250} \][/tex]
Thus, the simplified fraction for 0.004 is [tex]\(\frac{1}{250}\)[/tex].
So, the correct answer is:
(b) [tex]\(\frac{1}{250}\)[/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.