Question

sue has 4 pieces of wood. the lengths of her pieces of wood are 1/3 foot, 2/5 foot, 3/10 foot and 1/4 foot. which piece of wood is the shortest?​

Answer 1

1/4 foot.

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:

`(1)/(3) (2)/(5) (3)/(10) (1)/(4)`

`(20)/(60) (24)/(60) (18)/(60) (15)/(60)`

So now we know that 1/4 foot is the shortest among all the different wood.