CLASS-5
EXPRESSING PERCENTAGE AS A FRACTION

EXPRESSING PERCENTAGE AS A FRACTION -

To express a percentage as a fraction, you can follow these steps:

  1. Write the percentage as a fraction with a numerator equal to the percentage value and a denominator of 100.
  2. Simplify the fraction, if possible, by dividing both the numerator and denominator by their greatest common divisor.

Here are a few examples:

  1. Express 25% as a fraction: 25% = 25/100 This fraction can be simplified by dividing both the numerator and denominator by 25: 25/100 = 1/4
  2. Express 75% as a fraction: 75% = 75/100 This fraction can be simplified by dividing both the numerator and denominator by 25: 75/100 = 3/4
  3. Express 60% as a fraction: 60% = 60/100 This fraction can be simplified by dividing both the numerator and denominator by 20: 60/100 = 3/5

So, 25% can be expressed as 1/4, 75% as 3/4, and 60% as 3/5, respectively.

Remember that if the fraction can be further simplified, it's always a good practice to do so.

Let me know if there's a specific percentage you'd like to convert, and I can provide the fraction representation for you!

To express a percentage as a fraction, you simply write the percentage as a fraction with a denominator of 100. The numerator of the fraction is the numerical value of the percentage.

For example:

  1. 25% can be written as the fraction 25/100.
  2. 50% can be written as the fraction 50/100, which simplifies to 1/2.
  3. 75% can be written as the fraction 75/100, which simplifies to 3/4.

To simplify the fraction further, you can divide both the numerator and denominator by their greatest common divisor. In the examples above, the fractions were simplified to their lowest terms.

So, when expressing a percentage as a fraction, you can convert it by writing the percentage value as the numerator and 100 as the denominator. Then, if possible, simplify the fraction.

If you have a specific percentage you'd like to convert to a fraction, let me know and I'll provide the conversion for you!

To convert a percentage into a fraction, we remove the % symbol and divide it by 100. We then simplify the fraction to its lowest term.

Express each of the following as a fraction with 100 as the denominator:

                         41

a)  41 % = --------

                       100

                56          28

b) 56 % = -------- = -------

                       100          50

                     38           19

c)  38 % = -------- = -------  [38 and 100 have the common factor 2]

                100          50             

                        82          41

d)  82 % = ------- = ------- [82 and 100 have the common factor 2]

                      100          50

                 1             (112 × 2) + 1

f) 112 ------ % = ---------------- % 

           2                  2

  [Convert the mixed number into improper fraction]

                                     225

                   = -------- % 

                                     2

                                     225

                   =  -------- ÷ 100

                           2

                                    225          1           9           1          9

                   = ------- X ------- = ------- X ------ = ------

                         2          100          2           4          8

          [Convert the improper fraction into mixed number]

                                          1

                   =  1 -------     (Ans.)

                            8