Respuesta :

8/25

You would want to divide 4/5 by 2 1/2 so that you can find what times 2 1/2 equals 4/5. You can change 4/5 and 2 1/2 to 0.8 and 2.5 to make the division easier. Next you divide 0.8/2.5 which would equal 0.32. 0.32 can be represented as 32/100. You can find the GCF or keep dividing by 2 until you get the fraction 8/25. You can check this by doing 2.5*8/25 and you’ll get 4/5 or 0.8.

The fraction of 2 1/2 that is 4/5 is: [tex]\mathbf{=\dfrac{8}{25} }[/tex]

A fraction usually comprise of a part which not a whole number but a ratio of two numbers.

The first thing to do is to change the mixed fraction 2 1/2 to an improper fraction.

i.e.

[tex]\mathbf{2\dfrac{1}{2}\to \dfrac{5}{2}}[/tex]

[tex]\mathbf{= \dfrac{5}{2}}[/tex]

So we will want to divide [tex]\mathbf{ \dfrac{5}{2}}[/tex] from [tex]\mathbf{\dfrac{4}{5}}[/tex] in order to determine what fraction of [tex]\mathbf{2\dfrac{1}{2}}[/tex] is

[tex]\mathbf{\dfrac{4}{5}}[/tex]

Mathematically, we have:

[tex]\mathbf{=\dfrac{4}{5} \div \dfrac{5}{2}}[/tex]

[tex]\mathbf{=\dfrac{4}{5} \times \dfrac{2}{5}}[/tex]

[tex]\mathbf{=\dfrac{8}{25} }[/tex]

Therefore, we can conclude that the fraction of 2 1/2 that is 4/5 is [tex]\mathbf{=\dfrac{8}{25} }[/tex]

Learn more about fractions here:

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