Answer :
To be able to compare two fraction we have to make common denominator. Then we can compare fractions.
[tex] \frac{1}{2} = \frac{1*8}{2*8}= \frac{8}{16} [/tex]
Now we can compare
[tex] \frac{5}{16}< \frac{8}{16} [/tex]
1/2 is bigger than 5/16
[tex] \frac{1}{2} = \frac{1*8}{2*8}= \frac{8}{16} [/tex]
Now we can compare
[tex] \frac{5}{16}< \frac{8}{16} [/tex]
1/2 is bigger than 5/16
The value of [tex]\dfrac{1}{2}[/tex] is bigger than [tex]\dfrac{5}{{16}}.[/tex]
Further explanation:
Given:
The first fraction is [tex]\dfrac{1}{2}.[/tex]
The second fraction is [tex]\dfrac{5}{{16}}.[/tex]
Explanation:
To compare the two fractions first we need to make the same denominator.
The denominator of the first fraction is 2.
The denominator of the second fraction is 16.
Multiply the numerator and denominator of the first fraction by 8.
[tex]\begin{aligned}{\text{Fraction}&=\frac{1}{2} \times \frac{8}{8}\\&=\frac{8}{{16}}\\\end{aligned}[/tex]
Now the denominator of the first fraction is 16.
Now compare the two fractions. The denominators of the two fractions are same that is 16.
The numerator of the first fraction is 8 and the numerator of the second fraction is 5.
If the two fractions have same denominator, then the fraction with bigger numerator is greater than the other.
8is greater than 5. Therefore, [tex]\dfrac{8}{{16}} > \dfrac{5}{{16}}.[/tex]
Hence, the value of [tex]\dfrac{1}{2}[/tex] isbigger than [tex]\dfrac{5}{{16}}.[/tex]
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Fractions
Keywords: fraction,[tex]\dfrac{5}{{16}}[/tex], equal, bigger,[tex]\dfrac{1}{2}[/tex], ratio, denominator, numerator, common denominator, smaller.
