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Table of Contents
What is in its simplest form?
A fraction is in simplest form if the top and bottom have no common factors other than 1. In other words, you cannot divide the top and bottom any further and have them still be whole numbers. You might also hear simplest form called “lowest terms”. For example, the fraction. 4.
What is the simplest form of 62?
62% in the fraction form is 62/100. If you want you can simplify it further as 31/50.
What is the simplest form of simplest form?
1. The simplest form is the smallest possible equivalent fraction of the number. Steps for finding the simplest form: Search for common factors in the numerator and denominator.
How do you convert to simplest form?
- Find the GCF of numerator and denominator of the fraction.
- Divide the numerator and denominator by the produced GCF.
- Write the simplified fraction of the given fraction.
Simplify 618/658 to Simplest Form
A fraction is a value that represents part of a whole. The simplest form is also called the reduced fraction form. For example, ¾ is the simplest form of a fraction that has a common divisor equal to 1. But 2/4 is not the simplest form because 2/4 can be further simplified and written as ½. Here we can also say that ½ and 2/4 are equivalent fractions.
In this article, let’s find out how to write the fraction in its simplest form using the given steps and examples.
How do I find the simplest form of a fraction?
A fraction, in its simplest form, is when the top and bottom of the fraction are integers that are relatively prime.
Finding the simplest form of any fraction is an easy technique. We need to simplify the numerator and denominator of the fraction by dividing both the numerator and denominator by the greatest common divisor that divides them completely. After division, the numerator and denominator should remain integers. This method of simplifying fractions is also known as reducing fractions.
For example, if the fraction is ac/bc, then the simplified form of ac/bc is a/b because the common factor “c” is divided by both the numerator and denominator.
ac/bc = a/b
Steps to find the simplest shape
Learn the step-by-step method of simplifying fractions here:
Find the GCF of the numerator and denominator of the fraction
Divide the numerator and denominator by the generated GCF
Write the simplified fraction of the given fraction
Also Read: Simplifying Fractions?
Solved examples
Let’s solve examples based on simplifying fractions.
Simplify the fractions given below:
(i) 3/6
(ii) 2/10
(iii) 15/35
(iv) 15.10
(v) 16.4
Solution:
(i) 3/6
Let’s find the GCF of 3 and 6.
GCF(3.6) = 3
So 3/6 = (3 x 1)/(3 x 2) = ½
So ½ is the answer.
(ii) 2/10
GCF of 2 and 10 is 2.
Therefore we can write
2/10 = (1×2)/(5×2)
Dividing the numerator and denominator by 2, we get;
2/10 = ⅕
So ⅕ is the solution.
(iii) 15/35
HCF of 15 and 35 is 5
If we divide the numerator and denominator by 5, we get;
15/5 = 3
35/5 = 7
Therefore 15/35 = 3/7 is the required fraction.
(iv) 15.10
GCF (10, 15) = 5
Divide 10 and 15 by 5 to get;
10/5 = 2
15/5 = 3
Therefore, the simplified fraction of 10/15 is:
10/15 = 2/3
(v) 16.4
GCD of 4 and 16 = 4
Divide the numerator and denominator (4 and 16) by 4 to get;
4/4 = 1
16/4 = 4
Therefore, the simplified fraction of 4/16 is:
4/16 = ¼
Simplest form of adding fractions
When adding two fractions, the sum of the fractions must be written in the simplest form.
For example, if we add ¼ and ¼, we get; ¼ + ¼ = 2/4 But 2/4 is not the simplest form. Hence we get the division of the numerator and denominator by the greatest common divisor of 2 and 4 i.e. 2; 2/4 = ½ So ¼ + ¼ = ½
Note: If the denominators of the two fractions are also not equal, then they are unlike fractions. So we need to convert these fractions into equal fractions by making the denominators equal and then adding them up.
Simplest form ratio
A ratio is represented by a:b, where a and b are integers. When we write a ratio in its simplest form, we reduce the ratio to its lowest terms.
Example: Simplify 32:40. We can use the same method to simplify the ratio as we used to simplify the fraction. 32 is here the antecedent and 40 the consequent. So we need to find the highest possible factor of 32 and 40 to get the simplified form. Therefore 8 is the common factor of 32 and 40. Therefore the simplest form of 32:40 is 4:5 (because 8 x 4 = 32 and 8 x 5 = 40)
Decimal to Simplest Form
Follow these steps to convert decimals to the simplest fractional form:
Remove the decimal and write it as a whole number, which will be the numerator of the fraction.
Write the denominator as a multiple of 10 equal to the digits after the decimal point. (For example, if there are 2 digits after the decimal point, then the denominator is 10 x 10 = 100)
Now simplify the fraction
Example: Write 0.5 in a fraction. By following the steps given above, we get; 0.5 = 5/10 [Since there is only one decimal place] = ½ [By taking out the HCF from the numerator and denominator and then simplifying]
practice questions
Simplify the following fractions: 10/45 2/18 4/60 9/81 What is the equivalent fraction of 5/9? Solve and write in the simplest form: ⅗ + 7/5 ⅘ + 8/3 Fill in the gaps: 36/54 = 18/___ 30/54 = ___/9 ¼ = 7/___ 180/___ = 9/10
Fractions Related Articles
What is 75 in simplified form?
In simplest form, 75% gives 3/4 as a fraction. The percent sign means divide by 100, so 75% means 75/100.
Simplify 618/658 to Simplest Form
What is the simplest form of 36?
36=12 In fact, 12 is the simplest form of 36 because it has the smallest numerator and denominator possible to represent that amount.
Simplify 618/658 to Simplest Form
In its simplest form, a fraction is when the numerator and denominator do not have a common divisor.
What is the simplest form of 56?
When written in simplest form, 56/100 would be 14/25.
Simplify 618/658 to Simplest Form
What is 5 in its simplest form?
Hence 5% can be written as 120 in simplest form.
Simplify 618/658 to Simplest Form
# 5% = 5/100 #
# => 1/20 #
Therefore, #5%# can be written as #1/20# in its simplest form.
What is the simplest fraction?
A fraction is said to be in simplest form if its numerator and denominator are relatively prime , that is, they have no common factors other than 1 . (Some books use “written in lowest terms” to mean the same thing.)
Simplify 618/658 to Simplest Form
A fraction is said to be in its simplest form when its numerator and denominator are relatively prime, that is, they have no common factors other than 1. (Some books use “written in the lowest terms” to mean the same thing.)
So 5 9 is the simplest form, since 5 and 9 have no common factors except 1. But 6 is not 9; 6 and 9 have a factor 3 in common.
To write 6 9 in the simplest form, divide both the numerator and denominator by the greatest common factor, in this case 3:
6 ÷ 3 9 ÷ 3 = 2 3
So 6 9 in the simplest form is 2 3 .
This is called reducing fractions.
What is the simplified form of I 13?
Algebra Examples
Rewrite i13 as (i4)3i ( i 4 ) 3 i . Factor out i12 i 12 . Rewrite i12 i 12 as (i4)3 ( i 4 ) 3 .
Simplify 618/658 to Simplest Form
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Which fraction is in its simplest form?
A fraction is said to be in its simplest form if 1 is the only common factor of its numerator and denominator. For example,89,because 1 is the only common factor of 8 and 9 in this fraction.
Simplify 618/658 to Simplest Form
A fraction is a part of a whole. It has a numerator and a denominator.
For example: 12 here 1 is the numerator and 2 is the denominator. It is represented by the following figure:
Here the shape is divided into 2 equal parts, hence the denominator is 2 and 1 of 2 parts is shaded, hence the numerator is 1.
Simplest form of a fraction
A fraction is called in its simplest form if 1 is the only common divisor of the numerator and denominator. For example, 89 because 1 is the only common divisor of 8 and 9 in that fraction.
We simplify fractions because there is always work to do or math when the fractions are in their simplest form.
Simplifying proper and improper fractions
Steps:
Find the highest common factor (HCF) of the numerator and denominator.
Divide both the numerator and denominator by HCF.
Example 1: Check if the fraction 715 is in its simplest form?
Solution: Factors of numerator 7 = 1, 7
Factors of denominator 15 = 1, 3, 5, 15
We can see that 1 is the only common divisor of 7 and 15
Hence 715 in its simplest form.
Example 2: Reduce 1218 in its simplest form.
Solution: Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 18 = 1, 2, 3, 6, 9, 18
Highest common factor (HCF) of 12 and 18 = 6
If we divide the numerator and denominator by 6 (HCF), we get
12÷6 18÷6 = 2 3
Therefore 23 is the simplest form of the fraction 1218.
Simplify a mixed fraction
Steps:
Find the highest common factor (HCF) of the numerator and denominator of the fraction.
Divide both the numerator and denominator by HCF to get the simplified fraction.
Write the whole and the simplified fraction together.
Example 4: Matthew has 31216 ice cream. How much ice does he have in his simplest form?
Solution: Factors of 3 12 16 = 1 4 12 = 1, 2, 3, 4, 6, 12
Factors of 16 = 1, 2, 4, 8, 16
Highest common factor (HCF) of 12 and 16 = 4
If we divide the numerator and denominator by 4 (HCF), we get
12÷4 16÷4 = 3 4
So Matthew 31216 is carrying ice cream in its simplest form.
What is 75 in simplified form?
In simplest form, 75% gives 3/4 as a fraction. The percent sign means divide by 100, so 75% means 75/100.
Simplify 618/658 to Simplest Form
What is the Simplest Form of a Fraction? | Don’t Memorise
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Percent to Fraction Calculator to convert input 62 Percent to Fraction value
FAQs about 62% broken?
1. How do you convert 62% to fractions?
You can convert 62% to a fraction simply by placing the percentage above 100, i.e. H. 62/100
2. What is 62% in fractional form?
62% in fractional form is 62/100. You can simplify it further than 31/50 if you want.
3. Where can I get a step-by-step guide to converting 62% to fractions?
On our page you will find a step-by-step guide to convert 62% to fractions.
Definition Facts & Example
What is the simplest form?
A fraction is not a whole number, but a number between whole numbers. It’s part of a whole. Also, a fraction has two parts – a numerator and a denominator.
When the numerator and denominator can no longer be separately reduced to a smaller number, we get the fraction in its simplest form.
For example,
3⁄ 6 can be simplified as:
In the example given, we get the simplified form by dividing the numerator and denominator by 3, the largest number that exactly divides both numbers (reduces to another integer).
So finding the simplest form of a fraction means reducing the top and bottom of the fraction to the smallest whole number possible.
Fun Facts
1. The simplest form is the smallest possible equivalent fraction of the number.
Steps to find the simplest shape:
Look for common factors in the numerator and denominator.
Check if any of the numbers in the fraction are prime.
(Revise your knowledge: A prime number is a number that consists only of two divisors 1 and itself. )
Divide by a fraction equal to 1. (Multiplying would increase the original fraction, which is not what we want when simplifying.) For example, 2⁄2, 3⁄3, 10⁄10, or 5⁄5 are all equivalent to 1.
For example,
Jenny has a chocolate cake that she cut into 6 pieces. She shares this equally with 7 other friends, so a total of 8 people.
That leaves Jenny with a fraction of 6⁄ 8 . Can this be any easier?
Neither number (above or below in this fraction) is prime.
Let’s look at the common factors:
6 → 2,3,6
8 → 2,4,8
So 2 is a common divisor of the numerator and denominator.
So the simplest form is 3⁄ 4 .
Thus, each group of 4 people shares 3 pieces of cake.
Simplify 618/658 to Simplest Form
What is the simplified form of 618/658? Convert an improper fraction to its simplest form or proper smallest terms. A fraction belongs to numerator divided by denominator. So, enter the numerator and denominator value in the given input box and then press the calculate button. The system automatically calculates the simplest form of this fractional value.
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