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The fraction models below represent two fractions of the same whole. How much of the Fraction 5 over 8 is in the Fraction 1 over 2?

Two rectangles of the same size are drawn side by side touching each other. The first rectangle is divided into 8 portions of equal size. Five of these are shaded. The shaded portion alone is labeled as 5 over 8. The second rectangle is divided into 2 portions of equal size. One portion is shaded. The shaded portion alone is labeled 1 over 2.

Fraction 5 over 16
Fraction 4 over 5
Fraction 5 over 4
Fraction 16 over 5

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musiclover10045

To find how much of 5/8 is you would need to divide 1/2 by 5/8:

X = (1/2) / (5/8)

When dividing fractions, you reverse the second fraction and multiply:

X = (1/2) x (8/5)

X = 8/10

Simplify:

X = 4/5

ajeigbeibraheem

The fractional amount of the fraction 5 over 8 in the fraction 1 over 2 is the fraction 4 over 5. Therefore, Option B is correct.

From the information given;

We are to find how much  the Fraction 5 over 8 is in the Fraction 1 over 2

This implies that we need to divide the fraction 5 over 8 i.e.  [tex]\mathbf{\dfrac{5}{8}}[/tex]  by the fraction 1 over 2 i.e. [tex]\mathbf{\dfrac{1}{2}}[/tex]

Mathematically;

[tex]\dfrac{1}{2} \div \dfrac{5}{8}[/tex]

[tex]\mathbf{= \dfrac{1}{2} \times \dfrac{8}{5} }[/tex]

[tex]\mathbf{= \dfrac{4}{5}}[/tex]

Therefore, we can conclude that the fractional amount of the fraction 5 over 8 in the fraction 1 over 2 is the fraction 4 over 5.

Learn more about fractions here:

https://brainly.com/question/6201432?referrer=searchResults

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