Answer:
[tex]r=4\frac{3}{8}[/tex]
Step-by-step explanation:
Given the following question:
[tex]4\frac{5}{8} +r=9[/tex]
Rewrite the expression to find the value of r:
[tex]9-4\frac{5}{8}[/tex]
Subtract by finding the common denominator:
[tex]9-4\frac{5}{8}[/tex]
[tex]9=\frac{9}{1}[/tex]
[tex]4\frac{5}{8} =8\times4=32+5=37=\frac{37}{8}[/tex]
[tex]\frac{9}{1} -\frac{37}{8}[/tex]
[tex]\frac{9}{1} \times8=\frac{72}{8}[/tex]
[tex]\frac{37}{8} \times1=\frac{37}{8}[/tex]
[tex]\frac{72}{8} -\frac{37}{8}[/tex]
[tex]72-37=35[/tex]
[tex]=\frac{35}{8}[/tex]
[tex]\frac{35}{8} =35\div8=4\frac{3}{8}[/tex]
[tex]r=4\frac{3}{8}[/tex]
[tex]4\frac{5}{8} +4\frac{3}{8} =9[/tex]
Hope this helps.