Converting 0.36 to p/q Form
In this article, we will explore how to convert the decimal number 0.36 to its equivalent p/q form, also known as a fraction.
What is p/q Form?
The p/q form, also known as a fraction, is a way to express a value as a ratio of two integers, p and q, where q is non-zero. This form is commonly used in mathematics to simplify complex numbers and perform arithmetic operations.
Converting 0.36 to p/q Form
To convert 0.36 to p/q form, we need to find the numerator (p) and denominator (q) that, when divided, give us the original decimal value.
Let's start by multiplying 0.36 by 100 to get rid of the decimal point:
0.36 × 100 = 36
Now, we can write 36 as a fraction:
36/100
We can simplify this fraction by finding the greatest common divisor (GCD) of 36 and 100, which is 4. Divide both numerator and denominator by 4:
36 ÷ 4 = 9 100 ÷ 4 = 25
So, the p/q form of 0.36 is:
9/25
This is the simplified fraction equivalent of the decimal number 0.36.
In conclusion, we have successfully converted 0.36 to its p/q form, which is 9/25. This form is useful in various mathematical operations and can be used to simplify complex calculations.
Example Uses of p/q Form
The p/q form has numerous applications in mathematics, physics, and engineering. Here are a few examples:
- Ratios and Proportions: p/q form is used to express ratios and proportions in various fields, such as finance, physics, and engineering.
- Fractions in Algebra: p/q form is used to simplify algebraic expressions and equations.
- Geometry: p/q form is used to calculate proportions and ratios in geometric shapes.
By understanding how to convert decimal numbers to p/q form, you can unlock a wider range of mathematical concepts and applications.
