Question

What is 9 3/16 + 7 5/8

Answer 1

Given the following sum:

`9(3)/(16)+7(5)/(8)`

First let's convert these mixed numbers into improper fractions:

`\begin{gathered} 9(3)/(16)=(9(16)+3)/(16)=(144+3)/(16)=(147)/(16) \\ 7(5)/(8)=(7(8)+5)/(8)=(56+5)/(8)=(61)/(8) \end{gathered}`

then, we would have the following equivalent expression:

`9(3)/(16)+7(5)/(8)=(147)/(16)+(61)/(8)`

now, notice that we can write 61/8 like this:

`(61)/(8)=(122)/(16)`

then, we have that:

`(147)/(16)+(61)/(8)=(147)/(16)+(122)/(16)=(147+122)/(16)=(269)/(16)=16(13)/(16)`

therefore, the result of the sum is 16 13/16