Question

Create three fractions by replacing the word 'blank' in each fraction with a variable or number. You can use the same value or three different replacement values. Explain all the work in simplifying your new addition problem.
3 over blank plus blank over a squared minus blank over a cubed

Answer 1

\[\frac{ 3 }{ blank } + \frac{ blank }{ a^2 } + \frac{ blank }{ a^3 }\]

Answer 2

for the first blank, i would choose 'a'

for the second blank, i would choose 'a'

for the third blank, i would choose 'a^2'

the will create\[\frac{ 3 }{ a }+\frac{ a }{ a^{2} }+ \frac{ a^{2} }{ a^{3} }\]

Answer 3

this will reduce to \[\frac{ 3 }{ a }+\frac{ 1 }{ a }+\frac{ 1 }{ a }\]

Answer 4

which then reduces to \[\frac{ 5 }{ a }\]