Add 21 1/2 in. 10 9/16 in.
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.
The addition is:
\(=\dfrac{513}{16}\ in.\) or \(32\frac{1}{16}\ in.\)
We are asked to add the expression :
\(21\frac{1}{2}\ in.\) and \(10\frac{9}{16}\ in.\)
both the numbers are in mixed fraction .
We will first change both the numbers into simple fraction as follows:
\(21\frac{1}{2}=\dfrac{21\times 2+1}{2}\\\\\\21\frac{1}{2}=\dfrac{43}{2}\ in.\)
and
\(10\frac{9}{16}=\dfrac{10\times 16+9}{16}\\\\10\frac{9}{16}=\dfrac{169}{16}\ in.\)
Hence, the addition of the two numbers is calculated as follows:
\(\dfrac{43}{2}+\dfrac{169}{16}\\\\\\=\dfrac{43\times 8+169}{16}\)
( Since, on taking lcm of 2 and 16)
Hence, we get:
\(=\dfrac{513}{16}\ in.\)
which in mixed fraction is:
\(32\frac{1}{16}\ in.\)