Question

mary has three lengths of cable, 3/6 yard, 1/4 yard long ,and 1/3 yard long. which two pieces together make a length of 20/24 yard?

Answer 1

3/9

Explanation:

Answer 2

The two pieces together make a length of
`(20)/(24)` yard are
`(3)/(6)` and
`(1)/(3)`.

Explanation:

Given : Mary has three lengths of cable,
`(3)/(6)` yard,
`(1)/(4)` yard long ,and
`(1)/(3)` yard long.

To find : Which two pieces together make a length of
`(20)/(24)` yard?

Solution :

First we convert the denominator of cable into 24.

Cable 1 -
`(3)/(6)` multiply the numerator and denominator by 4,

`(3)/(6)=(3* 4)/(6* 4)=(12)/(24)`

Cable 2 -
`(1)/(4)` multiply the numerator and denominator by 6,

`(1)/(4)=(1* 6)/(4* 6)=(6)/(24)`

Cable 3 -
`(1)/(3)` multiply the numerator and denominator by 8,

`(1)/(3)=(1* 8)/(3* 8)=(8)/(24)`

Now, we see that on adding which two numerator we get sum 20.

i.e. 12+8=20

So, we add cable 1 and cable 3

As
`(12)/(24)+(8)/(24)=(12+8)/(24)=(20)/(24)`

Therefore, the two pieces together make a length of
`(20)/(24)` yard are
`(3)/(6)` and
`(1)/(3)`.