How do you write the fraction #9/21# in simplest form?

Answer 1

#3/7#

#9/21=(cancel(3)xx3)/(cancel(3)xx7)=3/7#
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Answer 2

#3/7#

We have to find a #color(blue)"common factor"# that will divide into both 9 and 21 and reduce the fraction.
In this case the lowest common factor is #color(red)(3)#
#rArr9/21=(9÷3)/(21÷3)=3/7#

This is usually written as shown below.

#9/21=cancel(9)^3/cancel(21)^7=3/7larrcolor(red)" in simplest form"#
This process is called #color(blue)"cancelling"#
A fraction is in #color(red)"simplest form"# when no other factor apart from 1 will divide into the numerator/denominator.
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Answer 3

To write the fraction ( \frac{9}{21} ) in simplest form:

  1. Find the greatest common divisor (GCD) of the numerator and the denominator.
  2. Divide both the numerator and the denominator by the GCD.

In this case:

  1. The greatest common divisor of 9 and 21 is 3.
  2. Divide both the numerator and the denominator by 3:

[ \frac{9}{21} = \frac{9 \div 3}{21 \div 3} = \frac{3}{7} ]

So, ( \frac{9}{21} ) in simplest form is ( \frac{3}{7} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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