The lowest terms are 3/4 using the the least common denominator. The equivalent fraction over 32 would be 24/32 because it would reduce to 3/4 as well
Given:
The fraction value is:
[tex]\dfrac{12}{16}[/tex]
To find:
The simplified form of the given value and then find the equivalent fraction that has a denominator of 32.
Solution:
We have,
[tex]\dfrac{12}{16}[/tex]
It can be written as:
[tex]=\dfrac{3\times 4}{4\times 4}[/tex]
Cancel out the common factors.
[tex]=\dfrac{3}{4}[/tex]
Therefore, the simplified form of the given fraction is [tex]\dfrac{3}{4}[/tex].
Multiply numerator and denominator by 8 to find the equivalent fraction that has a denominator of 32.
[tex]\dfrac{3\times 8}{4\times 8}=\dfrac{24}{32}[/tex]
Therefore, the equivalent fraction that has a denominator of 32 is [tex]\dfrac{24}{32}[/tex].
Learn more:
https://brainly.com/question/231958
