How do you convert $25\% $ into a fraction in simplest form?
Answer
628.8k+ views
Hint:
This is a problem in which the student has to bring the percentage into a fraction in its simplest form. This can be treated as a problem in fraction in which the first step would be to convert a percentage into a fraction by dividing it by $100$. After the first step, the student has to find the greatest common multiple for both the numerator and denominator or the student can also bring both the numbers in their simplest form i.e in terms of prime number multiplication. The third step would be to cancel out the common multiples. This would be the final answer.
Complete Step by Step Solution:
The first step is to convert the given percentage into the form of a fraction
$25\% = \dfrac{{25}}{{100}}.........(1)$
The second step is to bring numerator and denominator in terms of its prime factors.
$\dfrac{{25}}{{100}} = \dfrac{{5 \times 5}}{{5 \times 5 \times 4}}..........(2)$
From the above step, we can see that the fraction has the greatest common multiple$25$. Striking off the common multiple we get the fraction in its simplest form.
$\dfrac{{25}}{{100}} = \dfrac{1}{4}.........(3)$
Thus, the simplest form of the fraction is $\dfrac{1}{4}$
Note:
The only important step in this sum is to first bring the percentage into a fraction and then in terms of its prime factors. Sometimes when the complicated sum like $40\% \times \dfrac{5}{{20}} \times \dfrac{4}{{40}}$ it is advisable that the student first converts all the terms into the form of a fraction and then cancel out common terms after which, he/she should reduce the remaining terms to its the prime factors.
This is a problem in which the student has to bring the percentage into a fraction in its simplest form. This can be treated as a problem in fraction in which the first step would be to convert a percentage into a fraction by dividing it by $100$. After the first step, the student has to find the greatest common multiple for both the numerator and denominator or the student can also bring both the numbers in their simplest form i.e in terms of prime number multiplication. The third step would be to cancel out the common multiples. This would be the final answer.
Complete Step by Step Solution:
The first step is to convert the given percentage into the form of a fraction
$25\% = \dfrac{{25}}{{100}}.........(1)$
The second step is to bring numerator and denominator in terms of its prime factors.
$\dfrac{{25}}{{100}} = \dfrac{{5 \times 5}}{{5 \times 5 \times 4}}..........(2)$
From the above step, we can see that the fraction has the greatest common multiple$25$. Striking off the common multiple we get the fraction in its simplest form.
$\dfrac{{25}}{{100}} = \dfrac{1}{4}.........(3)$
Thus, the simplest form of the fraction is $\dfrac{1}{4}$
Note:
The only important step in this sum is to first bring the percentage into a fraction and then in terms of its prime factors. Sometimes when the complicated sum like $40\% \times \dfrac{5}{{20}} \times \dfrac{4}{{40}}$ it is advisable that the student first converts all the terms into the form of a fraction and then cancel out common terms after which, he/she should reduce the remaining terms to its the prime factors.
Recently Updated Pages
You are the head boyhead girl Write a notice informing class 7 english CBSE

The image formed by a plane mirror is always laterally class 7 physics CBSE

When phenolphthalein is added toNaOH the colour of class 7 chemistry CBSE

Find the least number which when divided by 15 leaves class 7 maths CBSE

Show that one and only one out of n n + 2n or n + -class-7-maths-CBSE

During heavy exercise we get cramps in the legs due class 7 biology CBSE

Trending doubts
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

List of coprime numbers from 1 to 100 class 7 maths CBSE

The plural of Chief is Chieves A True B False class 7 english CBSE

The founder of Jainism was A Rishabhadev B Neminath class 7 social science CBSE

Collective noun a of sailors class 7 english CBSE

Differentiate between weather and climate How do they class 7 social science CBSE


