Answer :
when adding fractions, they should have the same denominator.
the denominators of the 2 fractions 9/16 and 1/2 are 16 and 2 respectively.
to bring them both to the same denominator we can multiply both numerator and denominator of 1/2 by 8 and we get ---> 8/16.
[tex] \frac{1*8}{2*8} = \frac{8}{16} [/tex]
then the 2 fractions are 9/16 and 8/16. Now we can add the 2 fractions. when denominator is same the numerator values shoud be added.
[tex] \frac{9}{16} + \frac{8}{16} = \frac{17}{16} [/tex]
This is an improper fraction since 16/16 is 1 whole and 1/16 is remaining, simplified fraction = 1 1/16
the denominators of the 2 fractions 9/16 and 1/2 are 16 and 2 respectively.
to bring them both to the same denominator we can multiply both numerator and denominator of 1/2 by 8 and we get ---> 8/16.
[tex] \frac{1*8}{2*8} = \frac{8}{16} [/tex]
then the 2 fractions are 9/16 and 8/16. Now we can add the 2 fractions. when denominator is same the numerator values shoud be added.
[tex] \frac{9}{16} + \frac{8}{16} = \frac{17}{16} [/tex]
This is an improper fraction since 16/16 is 1 whole and 1/16 is remaining, simplified fraction = 1 1/16
The addition of [tex]\dfrac{9}{{16}} +\dfrac{1}{2}[/tex] is [tex]\boxed{\frac{{17}}{{16}}}.[/tex]
Further explanation:
Given:
The expression is [tex]\dfrac{9}{{16}} + \dfrac{1}{2}.[/tex]
Explanation:
Consider the first fraction as [tex]\dfrac{9}{{16}}[/tex] and consider the second fraction as [tex]\dfrac{1}{2}.[/tex]
To add the two fractions first we need to make the same denominator.
The denominator of the first fraction is 16.
The denominator of the second fraction is 2.
Multiply the numerator and denominator of the second 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 second fraction is 16.
The second fraction is [tex]\dfrac{8}{{16}}.[/tex]
Now add the fractions and simply.
[tex]\begin{aligned}{\text{Addition}}&=\frac{9}{{16}} + \frac{8}{{16}}\\&= \frac{{9 + 8}}{{16}}\\&= \frac{{17}}{{16}}\\\end{aligned}[/tex]
The simplified or improper fraction of addition can be obtained as follows,
[tex]\begin{aligned}S&= \frac{{16 + 1}}{{16}}\\&=\frac{{16}}{{16}} + \frac{1}{{16}}\\&= 1 + \frac{1}{{16}}\\&= 1\frac{1}{{16}}\\\end{aligned}[/tex]
The addition of [tex]\dfrac{9}{{16}} + \dfrac{1}{2}[/tex] is [tex]\boxed{\dfrac{{17}}{{16}}}.[/tex]
Learn more:
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Fractions
Keywords: fraction, simplify, 9/16, 1/2, add, subtraction, denominators, numerators,
