What is the simplified fraction of 8 18?
What is the simplified fraction of 8/18?
To find the simplified fraction of 8/18, we need to reduce it to its lowest terms. To do this, we need to find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 8 and 18 is 2.
Next, we divide both the numerator and denominator by the GCD to get the simplified fraction. Dividing 8 by 2 gives us 4, and dividing 18 by 2 gives us 9. Therefore, the simplified fraction of 8/18 is 4/9.
In conclusion, the simplified fraction of 8/18 is 4/9.
How to simplify a fraction?
Simplifying a fraction is the process of reducing it to its smallest equivalent form. This helps to make calculations easier and fractions easier to understand.
To simplify a fraction, follow these steps:
- Step 1: Start by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD is the largest number that divides both evenly.
- Step 2: Divide both the numerator and denominator by the GCD. This will give you an equivalent fraction.
- Step 3: Repeat steps 1 and 2 if the resulting fraction can be further simplified.
Let's take an example to understand it better:
Suppose we have the fraction 20/30.
Step 1: The GCD of 20 and 30 is 10.
Step 2: Divide both the numerator and denominator by 10.
20 ÷ 10 = 2
30 ÷ 10 = 3
Therefore, the simplified form of 20/30 is 2/3.
If we want to simplify it further, we can follow the same steps:
Step 1: The GCD of 2 and 3 is 1.
Step 2: Divide both the numerator and denominator by 1.
2 ÷ 1 = 2
3 ÷ 1 = 3
Therefore, the final simplified form of 20/30 is also 2/3.
Remember, not all fractions can be simplified. Sometimes, the numerator and denominator have no common factors other than 1.
Now that you know how to simplify a fraction, practice it with different fractions and improve your mathematical skills!
What is 8 16 in its simplest form?
In mathematics, we often come across fractions that can be simplified or reduced to their simplest form. Simplifying a fraction involves dividing both the numerator and denominator by their greatest common divisor (GCD) to obtain a fraction that cannot be further reduced.
Let's look at the fraction 8/16 and determine its simplest form. To simplify this fraction, we need to find the GCD of 8 and 16.
The GCD, also known as the greatest common factor (GCF) or highest common factor (HCF), is the largest number that can evenly divide both the numerator and denominator. In this case, the GCD of 8 and 16 is 8.
Now, we divide both the numerator and denominator by 8:
8 ÷ 8 = 1 (numerator) and 16 ÷ 8 = 2 (denominator)
Therefore, the fraction 8/16 can be simplified to 1/2 in its simplest form.
Simplifying fractions is important as it allows us to work with smaller and more manageable numbers. It also helps us compare and perform operations with fractions more easily.
Now that we have simplified the fraction 8/16 to 1/2, we can confidently use it in calculations, comparisons, or any other mathematical operations.
Remember, to simplify a fraction, find the GCD of the numerator and denominator, and then divide both by that number. By doing so, we obtain the simplest form of the fraction.
What is as a simplified fraction?
What is a simplified fraction? A simplified fraction is a fraction where the numerator and denominator cannot be divided by any number other than 1, resulting in the smallest possible form of the fraction. In other words, it is a fraction that is reduced to its simplest form.
For example, let's consider the fraction 4/8. Both the numerator and denominator can be divided by 4, resulting in 1/2. This is the simplified form of the fraction 4/8. Similarly, if we have the fraction 6/12, both 6 and 12 can be divided by 6, giving us the simplified fraction 1/2.
Why is it important to simplify fractions? Simplifying fractions is important because it allows us to work with smaller, more manageable numbers. It also helps in comparing and operating on fractions, as simplified fractions are easier to add, subtract, multiply, and divide.
When working with fractions in mathematical calculations or problem-solving, it is essential to express the fractions in their simplest form to obtain accurate and meaningful results. Simplifying fractions also helps in understanding the relationship between different fractions and their sizes.
How can fractions be simplified? To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator. The GCD is the largest number that divides both the numerator and denominator evenly without leaving a remainder.
Once we find the GCD, we divide both the numerator and denominator by this common factor. By repeatedly dividing by the GCD until no further simplification is possible, we obtain the simplified fraction.
Let's take an example: Consider the fraction 18/24. To simplify this fraction, we need to find the GCD of 18 and 24. The GCD of 18 and 24 is 6. By dividing both the numerator and denominator by 6, we get the simplified fraction 3/4, which is the smallest possible form of the given fraction.
In conclusion, a simplified fraction is the smallest representation of a fraction where the numerator and denominator cannot be reduced any further. Simplifying fractions not only makes mathematical calculations easier but also helps in understanding the relationship between different fractions.
What is 8 28 in simplest form?
In mathematics, finding the simplest form of a fraction involves reducing it to its lowest terms. In this case, we have the fraction 8/28, and we need to determine its simplest form.
To find the simplest form of a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by this GCD.
The GCD of 8 and 28 is 4, since both numbers are divisible by 4. Therefore, we can divide the numerator and denominator of 8/28 by 4:
8/4 = 2
28/4 = 7
So, the simplest form of the fraction 8/28 is 2/7.
It's important to note that finding the simplest form of a fraction is useful for various reasons. It makes calculations and comparisons easier, as well as improves understanding and clarity in mathematical problems.