How do you make new fractions that are equivalent to 6/24?

Answer 1

See explanation for the methods

Note that the question only askes for method. It does not specify what the equivalent fraction should be.

#color(blue)("Reducing the numbers without changing value")#

Observe that 6 will divide exactly into both 6 and 24

#6/24-=(6-:6)/(24-:6) = 1/4#
The #-=# means equivalent to
#6-:24 =0.25"; "1-:4=0.25 larr" both the same value"#
#color(blue)("Increasing the numbers without changing value")#
#color(green)(6/24color(red)(xx1)" "-= " "6/24color(red)(xx3/3)" " =" " 18/72 )#
#6-:24 =0.25"; "18-:72=0.25 larr" both the same value"#
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Answer 2

To make new fractions equivalent to ( \frac{6}{24} ), you can multiply both the numerator and the denominator by the same non-zero number. For example:

  1. Multiply both the numerator and denominator by 2:
    ( \frac{6 \times 2}{24 \times 2} = \frac{12}{48} )

  2. Multiply both the numerator and denominator by 3:
    ( \frac{6 \times 3}{24 \times 3} = \frac{18}{72} )

  3. Multiply both the numerator and denominator by 4:
    ( \frac{6 \times 4}{24 \times 4} = \frac{24}{96} )

And so on.

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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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