Answer:
[tex]\frac{1}{5}\ is\ equivalent\ to\ fraction\ with\ the\ denominator\ 10\ , 15\ , 25\ , 40\ are \frac{2}{10}\ , \frac{3}{15}\ , \frac{5}{25}\, \frac{8}{40}.[/tex]
Step-by-step explanation:
As given
[tex]Taylor\ cuts\ \frac{1}{5}\ sheet\ of\ construction\ paper\ for\ an\ arts\ and\ crafts\ project.[/tex]
Thus
[tex]= \frac{1}{5}[/tex]
Multiply numerator and denominator by 2 .
Thus
[tex]\frac{1}{5}=\frac{1\times 2}{5\times 2} [/tex]
[tex]\frac{1}{5}=\frac{2}{10}[/tex]
Second case
[tex]= \frac{1}{5}[/tex]
Multiply numerator and denominator by 3 .
Thus
[tex]\frac{1}{5}=\frac{1\times 3}{5\times 3}[/tex]
[tex]\frac{1}{5}=\frac{3}{15}[/tex]
Third case
[tex]= \frac{1}{5}[/tex]
Multiply numerator and denominator by 5 .
Thus
[tex]\frac{1}{5}=\frac{1\times 5}{5\times 5}[/tex]
[tex]\frac{1}{5}=\frac{5}{25}[/tex]
Fourth
[tex]= \frac{1}{5}[/tex]
Multiply numerator and denominator by 8 .
Thus
[tex]\frac{1}{5}=\frac{1\times 8}{5\times 8}[/tex]
[tex]\frac{1}{5}=\frac{8}{40}[/tex]
[tex]Therefore\ \frac{1}{5}\ is\ equivalent\ to\ fraction\ with\ the\ denominator\ 10\ , 15\ , 25\ , 40\ are \frac{2}{10}\ , \frac{3}{15}\ , \frac{5}{25}\, \frac{8}{40}.[/tex]
