Respuesta :
5/16 multiply the denominator by 2 and add 1 to the numerator
9/32 multiply the denominator by 4 and add 1 to the numerator
10/32 multiply the denominator by 4 and add 2 to the numerator
The three fractions between [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex] are [tex]\frac{7}{24},\frac{5}{16},\frac{1}{3}[/tex]
What is fraction?
"It is a number expressed as a quotient, in which a numerator is divided by a denominator."
How to find the fraction between two fractions?
"To obtain a fraction between two fractions:
Find the sum of the numerators and make it the new numerator.
Similarly, find the sum of denominators and make it the new denominator."
For given question,
We have been given two fractions [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex]
A fraction between [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex] is,
[tex]=\frac{2+3}{8+8}\\\\ =\frac{5}{16}[/tex]
Now, we find the fraction between [tex]\frac{2}{8}[/tex] and [tex]\frac{5}{16}[/tex]
[tex]=\frac{2+5}{8+16}\\\\ =\frac{7}{24}[/tex]
And the fraction between [tex]\frac{5}{16}[/tex] and [tex]\frac{3}{8}[/tex] is,
[tex]=\frac{5+3}{8+16}\\\\ =\frac{8}{24}\\\\=\frac{1}{3}[/tex]
Therefore, the three fractions between [tex]\frac{2}{8}[/tex] and [tex]\frac{3}{8}[/tex] are [tex]\frac{7}{24},\frac{5}{16},\frac{1}{3}[/tex]
Learn more about fractions here:
https://brainly.com/question/21010948
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