Seema bought [tex]\(\frac{23}{4}\)[/tex] metres of material to make her dress. After the dress was made, [tex]\(\frac{1}{3}\)[/tex] metres of the material was left over. How many metres of material were used to make the dress?

Sure, let's solve this step-by-step:

1. Find the total amount of material Seema bought:
Seema bought [tex]\( \frac{23}{4} \)[/tex] metres of material.

2. Convert the fraction to a decimal to make calculations easier:
[tex]\[
\frac{23}{4} = 5.75 \text{ metres}
\][/tex]

3. Find the amount of material left over after making the dress:
The amount of material left over was [tex]\( \frac{1}{3} \)[/tex] metres.

4. Convert this fraction to a decimal too:
[tex]\[
\frac{1}{3} \approx 0.3333333333333333 \text{ metres}
\][/tex]

5. Calculate the amount of material used to make the dress:
Subtract the amount of material left over from the total amount of material bought:
[tex]\[
5.75 - 0.3333333333333333 \approx 5.416666666666667 \text{ metres}
\][/tex]

So, the amount of material used to make the dress is approximately [tex]\( 5.416666666666667 \)[/tex] metres.