Converting 0.585 to a Fraction in p/q Form
In mathematics, converting a decimal number to a fraction in p/q form is an essential skill. In this article, we will explore how to convert the decimal number 0.585 to a fraction in p/q form.
What is p/q Form?
p/q form is a way of expressing a fraction where p and q are integers, and q is non-zero. For example, 3/4, 2/3, and 1/2 are all in p/q form.
Converting 0.585 to p/q Form
To convert 0.585 to p/q form, we can follow these steps:
Step 1: Divide by the Power of 10
Since 0.585 has three decimal places, we can divide it by 1000 (10^3) to get:
0.585 ÷ 1000 = 585/1000
Step 2: Simplify the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 585 and 1000 is 5. Therefore, we can divide both numbers by 5:
(585 ÷ 5) / (1000 ÷ 5) = 117/200
Step 3: Write the Answer in p/q Form
The final answer is:
0.585 = 117/200
In p/q form, the decimal number 0.585 is equal to the fraction 117/200.
Conclusion
Converting a decimal number to a fraction in p/q form is an essential skill in mathematics. By following the steps outlined in this article, you can convert any decimal number to a fraction in p/q form. In this case, we converted 0.585 to the fraction 117/200 in p/q form.
