Question

Which is the best reason why 2/5 is the exact quotient for 1/4÷ 5/8 ?

Answer 1

If u do the inverse and switch the 5/8 to 8/5 cause of (KCF- keep change flip) then u would get
$\frac{1}{4} \times \frac{8}{5}$
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
$\frac{1}{1} \times \frac{2}{5}$

Answer 2

Answer:

As $\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

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 $\frac{a}{b}\,,\,\frac{c}{d}$,

$\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

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,

$\frac{1}{4}\div \frac{5}{8}=\frac{1}{4}\times \frac{8}{5}\\=\frac{2}{5}$

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