We cannot cut any pieces from the 1/4yard string as it is smaller than the 3/5 yard pieces we want to cut.
SOLUTION:
It is given to us that a worker cut pieces of string that are each 3/5 yard in length.
We have been asked to find out how many pieces of string can the worker cut from a piece of string that is 1/4 yard in length.
The total length of the string available for cutting is [tex]\frac{1}{4}[/tex] yard.
We shall convert [tex]\frac{1}{4}[/tex] into decimal form for the simplicity of the calculation. Which gives us:
[tex]= \frac{1}{4}[/tex]
= 0.25 yard
Now the small pieces that want to be cut of 0.25 yard are given as [tex]\frac{3}{5}[/tex] yards. So, now we convert [tex]\frac{3}{5}[/tex] yard into decimal as well for uniformity.
[tex]= \frac{3}{5}[/tex]
= 0.6 yard
So from the calculations we can see that 0.25 yard is smaller than 0.6 yard.
Therefore, we cannot cut any pieces from the [tex]\frac{1}{4}[/tex] yard string as it is smaller than the pieces we want to cut.