
How do you write as a fraction in simplest form?
Answer
478.2k+ views
2 likes
Hint: The symbol "Percent" or "%" means "out of 100" or "per 100", To simplify a fraction divide the top and bottom i.e., numerator and denominator of the given fraction by the highest common factor. This means look for the biggest number then divide into both, if gives the simplest form of the fraction.
Complete step-by-step answer:
Percent means multiply to the respective number the resultant will be in the form of fraction.
Given can be written as
The resultant fraction is improper fraction i.e., the numerator is greater than or equal to the denominator of a fraction. In that case, you could convert it into a whole number or mixed number fraction.
Where 135 is the numerator and 100 is the denominator.
To simplify a fraction, we divide both the numerator and denominator by the same number. A common factor is a number that divides both the numerator and denominator without leaving any remainders. We divide the fractions till we get 1 as the common factor for both the numerator and denominator.
First, you find the factors of both numerator and denominator
Factors of 135 are 1, 3, 5, 9, 15, 27, 45, and 135
Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100
Here common factors of 135 and 100 are 1 and 5
The highest common factor HCF of 135 and 100 is 5
So, we divide the both numerator and denominator of the fraction by 5
Consider
Divide the both numerator and denominator by 5, we get
We can’t simplify further because the two numbers which are in the numerator and denominator don't have a common factor.
Hence, the simplest form of is
So, the correct answer is “ ”.
Note: In the arithmetic we can convert the number from one form to another form, while converting the number we have to follow some rule of conversion. Here to convert the percentage into a fraction we have to multiply the given number by . We can simplify further and hence we obtain a simplest form.
Complete step-by-step answer:
Percent means multiply
Given
The resultant fraction is improper fraction i.e., the numerator is greater than or equal to the denominator of a fraction. In that case, you could convert it into a whole number or mixed number fraction.
Where 135 is the numerator and 100 is the denominator.
To simplify a fraction, we divide both the numerator and denominator by the same number. A common factor is a number that divides both the numerator and denominator without leaving any remainders. We divide the fractions till we get 1 as the common factor for both the numerator and denominator.
First, you find the factors of both numerator and denominator
Factors of 135 are 1, 3, 5, 9, 15, 27, 45, and 135
Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100
Here common factors of 135 and 100 are 1 and 5
The highest common factor HCF of 135 and 100 is 5
So, we divide the both numerator and denominator of the fraction by 5
Consider
Divide the both numerator and denominator by 5, we get
We can’t simplify further because the two numbers which are in the numerator and denominator don't have a common factor.
Hence, the simplest form of
So, the correct answer is “
Note: In the arithmetic we can convert the number from one form to another form, while converting the number we have to follow some rule of conversion. Here to convert the percentage into a fraction we have to multiply the given number by
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 8 Science: Engaging Questions & Answers for Success

Master Class 8 English: Engaging Questions & Answers for Success

Master Class 8 Social Science: Engaging Questions & Answers for Success

Master Class 8 Maths: Engaging Questions & Answers for Success

Class 8 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Economics: Engaging Questions & Answers for Success

Trending doubts
What is the southernmost point of the Indian Union class 8 social science CBSE

List some examples of Rabi and Kharif crops class 8 biology CBSE

Canada has 6 different standard times Give geographical class 8 social science CBSE

The exponent of 2 in the prime factorization of 144 class 8 maths CBSE

What are biotic and abiotic resources Give some ex class 8 social science CBSE

What is the difference between rai and mustard see class 8 biology CBSE
