Respuesta :

If u do the inverse and switch the 5/8 to 8/5 cause of (KCF- keep change flip) then u would get
[tex] \frac{1}{4} \times \frac{8}{5} [/tex]
Then u would cross divide (basically asking yourself) to find the greatest factor u can multiply with two numbers if u can if u can only find one do one
how many times can 4 go into 4? which is 1
And how many times can 4 go into 8 which is 2 which is
[tex] \frac{1}{1} \times \frac{2}{5} [/tex]

Answer:

As [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

Step-by-step explanation:

Given that 2/5 is the exact quotient for 1/4 ÷ 5/8 . We need to give the reason behind the answer .

We know that for fractions of form [tex]\frac{a}{b}\,,\,\frac{c}{d}[/tex],

[tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

i.e  sign ÷ changes to × and we take reciprocal of fraction after the sign ÷

Here, let a = 1, b = 4 , c = 5 and d = 8

So, as per the explanation given above,

[tex]\frac{1}{4}\div \frac{5}{8}=\frac{1}{4}\times \frac{8}{5}\\=\frac{2}{5}[/tex]

Therefore,  2/5 is the exact quotient for 1/4÷ 5/8  as [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

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