Express In Simplest Form The Ratio Of Cd:Ef, If Cd=30 Cm And Ef=7 Dm.
Express in simplest form the ratio of CD:EF, if CD=30 cm and EF=7 dm.
3:7
The ratio of CD:EF is 3:7.
Step-by-step explanation:
Simplifying Ratio
Ratio is a comparison between two quantities. It is a way of showing how many times one number contains another. It can be expressed in colon form (x:y), word form (x to y) and fraction form (x/y). To simplify ratio, you have to find the greatest common factor of the quantities and divide the quantities by their common factor.
Going back to the given question above, you have to express in simplest form the ratio of CD:EF. There are four steps to find the answer.
- Make their units similar by converting dm to cm.
- Plug in the values in the ratio.
- Find the greatest common factor.
- Divide the quantities by their common factor.
Solution:
Step 1: Convert dm to cm.
EF = 7 dm
1 dm = 10 cm
7 × 10 = 70
Step 2: Plug in the values.
CD:EF
30:70
Step 3: G C F
30 = 1, 2, 3, 5, 6, 10
70 = 1, 2, 5, 7, 10
Their greatest common factor is 10.
Step 4: Divide.
30 ÷ 10 = 3
70 ÷ 10 = 7
Final Answer:
3:7
For examples of simplifying ratios, visit the links:
#LetsStudy
Comments
Post a Comment