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irga5000 [103]
2 years ago
10

23 over.30 ÷20 over 24

Mathematics
2 answers:
alexgriva [62]2 years ago
6 0

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

skad [1K]2 years ago
6 0

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:

\dfrac{20}{24} = \dfrac{5}{6}

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

\dfrac{23}{0.3} \div \dfrac{5}{6} = \dfrac{23}{0.3} \times \dfrac{6}{5}

We can cross simplify 6 and 0.3 to have

\dfrac{23}{0.3} \times \dfrac{6}{5} = \dfrac{23}{0.1} \times \dfrac{2}{5} = \dfrac{46}{0.5} = 92

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2 years ago
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==================================

Explanation:

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Let x be the amount of water we add. This amount is in gallons.

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Divide (1+x) over (10+x) to get (1+x)/(10+x). This represents the fraction of water. We want this fraction to be equal to 0.20, which is the 20% water amount. It is also equal to 20/100.

--------------

(1+x)/(10+x) = 20/100

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Extra info:

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