The decimal 0.36 can be expressed as a fraction in simplest form by dividing the number by 100 and then simplifying it.
0.36 = 36/100
To simplify the fraction, we can divide both the numerator and denominator by 4.
36 ÷ 4 = 9 100 ÷ 4 = 25
So, 0.36 as a fraction simplified is:
9/25
Working with Decimals and Fractions
Decimals and fractions are two different ways to represent numbers. Decimals are a way to express numbers using a point to separate the whole part from the fractional part. Fractions, on the other hand, are a way to express numbers as a ratio of two integers.
Why Simplify Fractions?
Simplifying fractions is an important math skill that can help you to better understand and work with numbers. Simplifying fractions involves finding the equivalent fraction with the smallest possible numerator and denominator.
There are several reasons why simplifying fractions is important:
- It makes calculations easier: Simplifying fractions can make calculations easier and less prone to errors.
- It helps with comparisons: Simplifying fractions can help you to compare fractions more easily.
- It is essential for algebra: Simplifying fractions is a crucial skill in algebra, where it is used to solve equations and manipulate expressions.
Steps to Simplify a Fraction
To simplify a fraction, follow these steps:
- Find the greatest common divisor (GCD) of the numerator and denominator.
- Divide the numerator and denominator by the GCD.
- Write the simplified fraction.
For example, let's simplify the fraction 12/16.
- Find the GCD of 12 and 16. The GCD is 4.
- Divide the numerator and denominator by 4. 12 ÷ 4 = 3 16 ÷ 4 = 4
- Write the simplified fraction.
3/4
Real-World Applications of Simplifying Fractions
Simplifying fractions has many real-world applications. Here are a few examples:
- Cooking: When following a recipe, you may need to simplify fractions to ensure that you are using the correct proportions of ingredients.
- Building: Simplifying fractions is essential in building and construction, where precise measurements are crucial.
- Science: Simplifying fractions is used in science to express measurements and calculations.
Conclusion
In conclusion, simplifying fractions is an essential math skill that can help you to better understand and work with numbers. By following the steps outlined above, you can simplify fractions and make calculations easier. Remember, simplifying fractions is a crucial skill that has many real-world applications.
What is the purpose of simplifying fractions?
+The purpose of simplifying fractions is to make calculations easier and to express fractions in their simplest form.
How do you simplify a fraction?
+To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator, and then divide both numbers by the GCD.
What are some real-world applications of simplifying fractions?
+Simplifying fractions has many real-world applications, including cooking, building, and science.