Simplify 14/18 to the simplest form
Fractions Simplifier Calculator
Here we answer questions like: Simplify 14/18 to the simplest form or how to simplify/reduce this fraction: 14/18? Read details below and use our calculator to learn more on how to reduce or simplify fractions.
How to simplify fractions
There are some different ways to simplify or reduce a fraction. See some examples below:
Method 1 - Keep Dividing by a Small Number
Start by dividing both the top and bottom numbers of the fraction by the same number, and repeat this if necessary until it is impossible to divide. Begin dividing by a small number like 2, 3, 5, 7. For example,
Simplify the fraction 12/60
- First divide both (numerator/denominator) by 2 to get 6/
- Divide both of those by 2 to get 3/15, then,
- >Divide both of those by 3 to get 1/5.
In the fraction 1/5, 1 is only divisible by itself, and 5 is not divisible by other numbers than itself and 1, so the fraction has been simplified as much as possible. No further reduction is possible, so the answer is 1/5.
To reduce a fraction to lowest terms (also called its simplest form), just divide both the numerator and denominator by the Greatest Common Factor (GCF or GCD). For example, 2/3 is in lowest form, but 4/6 is not in lowest form (the GCD of 4 and 6 is 2) and 4/6 can be expressed as 2/3. You can do this because the value of a fraction is not changed if both the numerator and denominator are multiplied or divided by the same number (other than zero).
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Simplifying Fractions - Samples
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Here we will simplify the ratio for you and show you how we did it.
To simplify the ratio , we find the greatest common divisor of 14 and 18, and then we divide 14 and 18 by the greatest common divisor.
The greatest common divisor that you can use to simplify is 2. Which means the answer to ratio simplified is:
Here is the math to illustrate better:
14/2 = 7 and 18/2 = 9
Thus, ratio simplified is
The ratio is not the only ratio we can simplify. Enter another ratio here for us to simplify.
Here is the next ratio on our list that we simplified.
How to reduce a fraction
Among different ways simplifying a fraction, we will show the two procedure below:
Method 1 - Divide by a Small Number When Possible
Start by dividing both the numerator and the denomiator of the fraction by the same number, and repeat this until it is impossible to divide. Begin dividing by small numbers like 2, 3, 5, 7. For example,
Simplify the fraction 42/98
- First divide both (numerator/denominator) by 2 to get 21/
- Dividing by 3 and 5 will not work, so,
- Divide both numerator and denominator by 7 to get 3/7. Note: 21 ÷ 7 = 3 and 49 ÷ 7 = 7
In the fraction 3/7, 3 is only divisible by itself, and 7 is not divisible by other numbers than itself and 1, so the fraction has been simplified as much as possible. No further reduction is possible, so 42/98 is equal to 3/7 when reduced to its lowest terms. This is a PROPER FRACTION once the absolute value of the top number or numerator (3) is smaller than the absolute value of the bottom number or denomintor (7).
Method 2 - Greatest Common Divisor
To reduce a fraction to lowest terms (also called its simplest form), just divide both the numerator and denominator by the GCD (Greatest Common Divisor).
For example, 3/4 is in lowest form, but 6/8 is not in lowest form (the GCD of 6 and 8 is 2) and 6/8 can be written as 3/4. You can do this because the value of a fraction will remain the same when both the numerator and denominator are divided by the same number.
Note: The Greatest Common Factor (GCF) for 6 and 8, notation gcf(6,8), is 2. Explanation:
- Factors of 6 are 1,2,3,6;
- Factors of 8 are 1,2,4,8.
So, it is ease see that the 'Greatest Common Factor' or 'Divisor' is 2 because it is the greatest number which divides evenly into all of them.
Simplifying Fractions. Some Examples:
Here we will simplify 14/18 to its simplest form and convert it to a mixed number if necessary.
In the fraction 14/18, 14 is the numerator and 18 is the denominator.
When you ask "What is 14/18 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.
We do this by first finding the greatest common factor of 14 and 18, which is 2.
Then, we divide both 14 and 18 by the greatest common factor to get the following simplified fraction:
Therefore, this equation is true:
14/18 = 7/9
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
7/9 = Proper Fraction
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What is 14/19 simplified?
Here is the next fraction on our list that we simplified.
What is the Reduced Fraction for 14/18?
The below workout with step by step calculation shows how to simplify the fraction 14/18 to its lowest term or simplest form. The below are the two methods used to convert the fraction to its lowest terms.
1. GCD or HCF method
2. Prime factorization method
GCD Method :
step 1 Address the formula and input values.
The given fraction = 14/18
step 2Find GCD (Greatest Common Factor) for both numerator and denominator.
The GCF for 14 and 18 is 2
step 3 divide the numerator and denominator by GCD 2 and rewrite the fraction
= (14/2) / (18/2)
7/9 is the simplified fraction for 14/18 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input values.
The given fraction = 14/18
step 2Find prime factors for both numerator and denominator and rewrite the fraction in the form of prime factors
Prime factors for 14 = 2 x 7
Prime factors for 18 = 2 x 3 x 3
= (2 x 7) / (2 x 3 x 3)
step 3 solve and rewrite the fraction
= ( 7)/( 3 x 3)
7/9 is a simplified fraction for 14/18 by using the prime factorization method.
The simplest form of 14/18 is 7/9.
Steps to simplifying fractions
- Find the GCD (or HCF) of numerator and denominator
GCD of 14 and 18 is 2
- Divide both the numerator and denominator by the GCD
14 ÷ 2/18 ÷ 2
- Reduced fraction: 7/9
Therefore, 14/18 simplified to lowest terms is 7/9.
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Equivalent fractions: 28/367/942/5470/9098/
More fractions: 28/1814/3642/1814/5415/1814/1913/1814/17
Fractions SimplifierSours: https://answers.everydaycalculation.com/simplify-fraction/
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