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Sagot :
Given:
A fraction is greater than [tex]\dfrac{3}{12}[/tex], is less than [tex]\dfrac{75}{100}[/tex].
The fraction has 6 as a denominator.
To find:
The fraction value.
Solution:
Let x be the required fraction.
According to the given information, we get
[tex]\dfrac{3}{12}<x<\dfrac{75}{100}[/tex]
[tex]\dfrac{1}{4}<x<\dfrac{3}{4}[/tex]
We know that, [tex]\dfrac{1}{4}<\dfrac{2}{4}<\dfrac{3}{4}[/tex]. So,
[tex]x=\dfrac{2}{4}[/tex]
[tex]x=\dfrac{1}{2}[/tex]
We need 6 as the denominator.
Multiply the numerator and denominator by 3.
[tex]x=\dfrac{1\times 3}{2\times 3}[/tex]
[tex]x=\dfrac{3}{6}[/tex]
Therefore, the required fraction is [tex]\dfrac{3}{6}[/tex].
The fraction that Greg wrote is 3/6.
What is a fraction?
A fraction is a quantity that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 1/2.
What fraction did Greg write?
The first step is to express 3/12 and 75/100 in its simplest form.
3/12 = 1/4
75/100 = 3/4
The second step is to determine the difference between the fractions
3/4 - 1/4
[tex]\frac{3 - 1}{4}[/tex] = [tex]\frac{2}{4} = \frac{1}{2}[/tex]
The third step is to multiply by 3
3/6
To learn more about subtraction of fractions, please check: https://brainly.com/question/915789
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