Answer:
1/4 foot.
Step-by-step explanation:
To find out which wood is the smallest, we can use the rules of LCD ( Least common denominator).
The values that are given are:
1/3
2/5
3/10
1/4
Here we can find what the LCD among all four values are. Let's spread them out by finding the multiples of the denominators
3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60...
5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60...
10 = 10, 20, 30, 40 , 50, 60...
4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60...
Although 3, 5, and 10 have a common denominator of 30, the multiples of 4 does not have the value 30.
With this in mind, we can see that 60 is the common denominator among all 4 values.
A visual representation of this would be:
[tex]\frac{1}{3} \frac{2}{5} \frac{3}{10} \frac{1}{4}[/tex]
[tex]\frac{20}{60} \frac{24}{60} \frac{18}{60} \frac{15}{60}[/tex]
So now we know that 1/4 foot is the shortest among all the different wood.
