Respuesta :
I'll just help with proving whether she is correct.
First of all, a fraction divided by a fraction can be made into multiplication since the division of two fractions is kinda difficult
so remember keep, change, flip
keep the first fractions, change the division symbol into multiplication, then flip the fraction i.e. 1/2 becomes 2/1
so 5/2 divided by 1/4 becomes
5/2 * 4/1
which then solved becomes
20/2 which is simplified to 10
Hope this helps :)
First of all, a fraction divided by a fraction can be made into multiplication since the division of two fractions is kinda difficult
so remember keep, change, flip
keep the first fractions, change the division symbol into multiplication, then flip the fraction i.e. 1/2 becomes 2/1
so 5/2 divided by 1/4 becomes
5/2 * 4/1
which then solved becomes
20/2 which is simplified to 10
Hope this helps :)
Answer:
Brenda's statement is reasonable.
Step-by-step explanation:
Brenda said that
[tex]\dfrac{\frac{5}{2}}{\frac{1}{4}}=10[/tex]
We need to check whether Brenda's statement is reasonable of not.
Multiply the above equation by 1/4.
[tex]\dfrac{\frac{5}{2}}{\frac{1}{4}}\times \frac{1}{4}=10\times \frac{1}{4}[/tex]
[tex]\frac{5}{2}=\frac{10}{4}[/tex]
[tex]\frac{5}{2}=\frac{5}{2}[/tex]
[tex]LHS=RHS[/tex]
So, Brenda's statement is reasonable.
We need find the quotient of
[tex]\dfrac{\frac{5}{2}}{\frac{1}{4}}[/tex]
It can be written as
[tex]\frac{5}{2}\times \frac{4}{1}}[/tex]
[tex]\frac{20}{2}[/tex]
Cancel out the common factors.
[tex]10[/tex]