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Reducing Fractions

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Reducing a fraction means that you divide the numerator and the denominator by the highest number that can divide both numbers exactly.

To reduce a fraction, follow the given steps :

  • Find the highest number (except 1) by which both the numerator and the denominator can be exactly divided .
  • Divide both the numerator and the denominator by that number.
  • See if you can reduce it again.

Example 1

 
Reduce
8
10

To reduce this fraction, we need to think of a number by which we can divide 8 and 10 exactly.

That number is 2.

Now we'll divide both the numerator (8) and the denominator (10) by 2

 
8 ÷ 2
10 ÷ 2
=
4
5
 

We now need to think if there's another number by which both the 4 and the 5 can be divided. There isn't, so we are done.

 
8
10
in its reduced form is
4
5
 

Example 2

 
Reduce
30
45

Both the numerator (30) and the denominator (45) of this fraction can be divided by 15, so let's do that:

 
30 ÷ 15
45 ÷ 15
=
2
3
 

You may notice that both 30 and 45 can also be divided by 3 and 5.

If you choose to start by dividing them both by 3, you'll just have to do an extra step and divide them both by 5 also. You will get the same answer:

Step 1:

 
 
30 ÷ 3
45 ÷ 3
=
10
15
 

Step 2:

 
 
10 ÷ 5
15 ÷ 5
=
2
3
 
 
 
30
45
in its reduced form is
2
3
Summary
  • Reducing a fraction means that you divide the numerator and denominator by the highest number that can divide both numbers exactly.
  • To reduce a fraction, follow the given steps :
    • Find the highest number (except 1) by which both the numerator and the denominator can be exactly divided .
    • Divide both the numerator and the denominator by that number.
    • See if you can reduce it again.

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