Respuesta :
First convert 1/2 into 8/16 then add your fractions. You should get 17/16 then make it a mixed number. 1 & 1/16. Now add 21+10+1 and you should get 32. So your awnser is 32 1/16 in.
Answer:
The addition is:
[tex]=\dfrac{513}{16}\ in.[/tex] or [tex]32\frac{1}{16}\ in.[/tex]
Step-by-step explanation:
We are asked to add the expression :
[tex]21\frac{1}{2}\ in.[/tex] and [tex]10\frac{9}{16}\ in.[/tex]
both the numbers are in mixed fraction .
We will first change both the numbers into simple fraction as follows:
[tex]21\frac{1}{2}=\dfrac{21\times 2+1}{2}\\\\\\21\frac{1}{2}=\dfrac{43}{2}\ in.[/tex]
and
[tex]10\frac{9}{16}=\dfrac{10\times 16+9}{16}\\\\10\frac{9}{16}=\dfrac{169}{16}\ in.[/tex]
Hence, the addition of the two numbers is calculated as follows:
[tex]\dfrac{43}{2}+\dfrac{169}{16}\\\\\\=\dfrac{43\times 8+169}{16}[/tex]
( Since, on taking lcm of 2 and 16)
Hence, we get:
[tex]=\dfrac{513}{16}\ in.[/tex]
which in mixed fraction is:
[tex]32\frac{1}{16}\ in.[/tex]
