What is the reciprocal ratio of 4:5:8?
- A8:5:4
- B5:4:3
- C3:4:5
- D10:8:5
Solution & Step-by-step Explanation
The reciprocal ratio of 4:5:8 is given by:
4
1
:
5
1
:
8
1
To simplify this into a whole number ratio, find the Least Common Multiple (LCM) of the denominators 4, 5, and 8.
The LCM of 4,5,8=40.
Multiply each term of the ratio by 40:
(
4
1
×40):(
5
1
×40):(
8
1
×40)
10:8:5
4
1
:
5
1
:
8
1
To simplify this into a whole number ratio, find the Least Common Multiple (LCM) of the denominators 4, 5, and 8.
The LCM of 4,5,8=40.
Multiply each term of the ratio by 40:
(
4
1
×40):(
5
1
×40):(
8
1
×40)
10:8:5