Respuesta :

Remark

Don't try and do this all at once. Break it down, otherwise you'll have layers and brackets all over the place.

Step One

Find 23/0.3

X = 23/0.3 = 76.7

Step Two

Now Divide by 20

x1 = 76.7 / 20

x1 = 3.83

Step Three

Take this result and put it over 24

x2 = x1/24

x2 = 3.83 / 24

x2 = 0.1597 <<<< Answer

I'm assuming that you want to divide the fraction 23/0.3 by the fraction 20/24.

First of all, the fraction 20/24 can be simplified, since both numerator and denominator are multiple of 4:

[tex] \dfrac{20}{24} = \dfrac{5}{6} [/tex]

Secondly, dividing by a fraction is the same as multiplying by the inverse of the fraction, i.e. if you have to divide by a/b, it's the same as multiplying by b/a.

So, we have

[tex] \dfrac{23}{0.3} \div \dfrac{5}{6} = \dfrac{23}{0.3} \times \dfrac{6}{5} [/tex]

We can cross simplify 6 and 0.3 to have

[tex] \dfrac{23}{0.3} \times \dfrac{6}{5} = \dfrac{23}{0.1} \times \dfrac{2}{5} = \dfrac{46}{0.5} = 92[/tex]