What is dividing fractions

Dividing fractions is simply: Dividing Fractions

Like for example:

5/8 divided by 2/8 = ?

I learned this:

KCF (Keep, Change, Flip)

5/8 you keep.

Change division to multiplication

Flip 2/8 to 8/2, then multiply.

5/8 x 8/2 = 40/16 = 2 8/16 or 2 1/2.

Step-by-step explanation:

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The simplest way I can describe dividing fractions is like multiplying fractions but upside down.

Example:

1/2 ÷ 1/3

To do this, the easiest way is to "flip" the second fraction.

It then becomes:

1/2 × 3/1

Then you just multiply across and you get a product of 3/2 or 1 1/2

h(x) = 2^(2 - x).

Step-by-step explanation:

h(x) = a.b^x

At h(1)

h(1) = a.b^1

h(1) = ab

Since h(1) = 2, then

2 = ab

ab = 2eqn 1

At h(0)

h(0)= a.b^0

h(0) = a.1

h(0) = a

Since h(0) = 4, then

4 = a

a = 4eqn 2

So we subtitle for b in eqn 1.

I.e

ab = 2 , where a = 4 from eqn 2

ab = 2

= 4b = 2

b = 2/4 = 1/2

Therefore:

h(x) = a.b^x

Since we have value for a and b.

h(x) = 2².(1/2)^x

h(x) = 2².(2^(-1))^x

h(x) = 2^2.2^(-x)

h(x) = 2^(2 - x).

Check attachment for further clarity