Answer :

Explanation

to solve this we need to do a subtraction, so

remainign paper= total paper- cut paper so

Step 1

Let

[tex]\begin{gathered} \text{total paper= 10 ft} \\ \text{cut paper= 2 }\frac{3}{4} \end{gathered}[/tex]

so

a) convert the mixed into improper fraction,

remember:

[tex]a\frac{b}{c}=\frac{(a\cdot c)+b}{c}[/tex]

so

[tex]2\text{ }\frac{3}{4}=\frac{(2\cdot4)+3}{4}=\frac{11}{4}[/tex]

now, replace to solve

remainign paper= total paper- cut paper so

replace

[tex]\begin{gathered} \text{remaining paper= 10-}\frac{11}{4} \\ \text{remaining paper= }\frac{10\cdot4-1\cdot11}{4}=\frac{40-11}{4}=\frac{29}{4} \end{gathered}[/tex]

so, the remainin paper is

[tex]\frac{29}{4}\text{ ft}[/tex]

I hope this helps you

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