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What number should you subtract from the numerator of the fraction 52,367/47,633 and add to the denominator so that, after reducing, you get 17/83?

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Given fraction is [tex] \frac{52367}{47633} [/tex]

Let number "x" is subtracted from numerator and added to the denominator to give new fraction [tex] \frac{17}{83} [/tex].

Then we get equation:


[tex] \frac{52367-x}{47633+x}=\frac{17}{83} [/tex]

Now we just need to solve this equation for x

Cross multiply

83(52367-x)=17(47633+x)

83*52367-83x=17*47633+17x

4346461-83x=809761 +17x

4346461-809761=83x +17x

3536700=100x

35367=x


Hence the required number is 35367.

The number 35367 should subtract from the numerator of the fraction 52,367/47,633 and add to the denominator so that, after reducing, we will get 17/83

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.

Let's suppose the number is x which is subtracted from the numerator of the fraction and added to the denominator

So the equation becomes:

[tex]\frac{52,367-x}{47,633+x} =\frac{17}{83}[/tex]

After cross multiplication, we get:

83(52,367-x) = 17(47,633+x)

4346461 - 83x = 809761 + 17x

4346461 - 809761 = 83x + 17x

3536700 = 100x

x = 35367

Thus, the number 35367 should subtract from the numerator of the fraction 52,367/47,633 and add to the denominator so that, after reducing, we will get 17/83

Learn more about the fraction here:

brainly.com/question/1301963

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