Math problem?

Question

Its numerator is 24 less than its denominator and its simplest form is 5/8!

Answer 1

40/64

Answer 2

A fraction is written in the form of numerator/denominator, or n/d.

The problem states that the numerator is 24 less than the denominator, so n=d-24.

Writing out the fraction we have n/d, or (d-24)/d aftrer substituting.

We know that the simplest form is 5/8, so all we need now is an equation.

(d-24)/d = 5/8
Multiplying out: 8(d-24) = 5d
8d-192 = 5d
3d=192
d = 64
Since n=d-24, n = 40

Testing, we can see that 40/64 simplifies to 5/8.

Answer 3

Let n = numerator, d=denominator. Then "Its numerator is 24 less than its denominator" tells you that: n+24=d. "its simplest form is 5/8" tells you that n/d = 5/8, or 8n = 5d.

Let's plug in d=n+24 into the second equation to get 8n = 5(n+24), simplifying gives us:
n = 40, so d = 64.

Answer 4

40/64

since the difference between the denominator and the numerator is 3, take 24 and divide it by 3 which is 8 and multiply 5 and 8 by to get 40/64

Answer 5

Let's call our unknown fraction n/d
We know that n/d = 5/8, which simplifies to 8n = 5d (cross multiply)

We can write the statement "its numerator is 24 less than its denominator" as:
n + 24 = d

Plugging in this value for d into the first equation gives us:
8n = 5(n + 24)

You can now solve this equation for n.
Add 24 to n to get d.

Answer 6

More Math homework questions! Please pick up concepts from this answer.
Let numerator be x. then denominator is x+24. Now substitute in
x/(x+24)=5/8
=>8x=5x+120 (cross over the numbers-hope you understand y)
=>3x=120 (bring over-hope you understand y)
=>x=40
so numerator is 40
denominator is 40+24=64
fraction is 40/64

Answer 7

x = numerator
y = denominator

x/y = 5/8
x = 5y/8

x - 24 = y
5y/8 - 24 = y
5y/8 - 192/8 = y
5y - 192 = 8y
8y - 5y = -192
3y = -192
y = -64

x - 24 = y
x = -64 + 24
x = -40

or you can put it into positive y = 64, x = 40

Answer 8

(d-24)/d=5/8 ==> 8d-192 = 5d IIIII 3d=192 d=64


Your fraction is 40/64 = 5/8