0.16 In P/q Form

3 min read Jul 06, 2024
0.16 In P/q Form

Converting 0.16 to p/q Form

In mathematics, a decimal number can be converted to a fraction in the form of p/q, where p and q are integers and q is non-zero. In this article, we will learn how to convert 0.16 to p/q form.

What is 0.16 in p/q Form?

To convert 0.16 to p/q form, we can use the following steps:

  1. Write 0.16 as a fraction with a denominator of 100: 16/100
  2. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD): 4/25

Therefore, 0.16 in p/q form is 4/25.

How to Convert a Decimal to p/q Form

Converting a decimal to p/q form involves the following steps:

Step 1: Write the decimal as a fraction

Write the decimal with a denominator of 10 raised to the power of the number of decimal places. For example, 0.16 can be written as 16/100.

Step 2: Simplify the fraction

Simplify the fraction by dividing both the numerator and denominator by their GCD.

Step 3: Write the simplified fraction in p/q form

Write the simplified fraction in the form of p/q, where p and q are integers and q is non-zero.

Conclusion

In conclusion, 0.16 in p/q form is 4/25. Converting decimals to p/q form is an important skill in mathematics, and it has many real-world applications. By following the steps outlined above, you can convert any decimal to p/q form.

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