Compare the ratios 7:5 and 10:7
Answers
Answer:
Step 1 :
Write the given two ratios as fractions.
Step 2 :
Find the least common multiple of the denominators of both the fractions (if the denominators are not same).
Step 3 :
Make the denominators of both the fractions same as the value of least common multiple found in step 1 using multiplication.
Step 4 :
After getting same denominator for both the fractions, compare the numerators and decide which fraction is greater.
The fraction which has larger numerator is greater in value.
Step-by-step explanation:
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COMPARING RATIOS
We can follow the steps given below to compare two ratios.
Step 1 :
Write the given two ratios as fractions.
Step 2 :
Find the least common multiple of the denominators of both the fractions (if the denominators are not same).
Step 3 :
Make the denominators of both the fractions same as the value of least common multiple found in step 1 using multiplication.
Step 4 :
After getting same denominator for both the fractions, compare the numerators and decide which fraction is greater.
The fraction which has larger numerator is greater in value.
Example 1 :
Compare 5 : 7 and 3 : 7.
Solution :
Write the given ratios as fractions.
5 : 7 = 5/7
3 : 7 = 3/7
The fractions 5/7 and 3/7 have the same denominator '7'.
Compare the numerators.
5 > 7
Then,
5/7 > 3/7
5 : 7 > 3 : 7
So, 5 : 7 is greater than 3 : 7.
. Compare the ratios 4 : 5 and 2 : 3.
Solution:
Express the given ratios as fraction
4 : 5 = 4/5 and 2 : 3 =2/3
Now find the L.C.M (least common multiple) of 5 and 3
The L.C.M (least common multiple) of 5 and 3 is 15.
Making the denominator of each fraction equal to 15, we have
4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15
Clearly, 12 > 10
>Now, 12/15 > 10/15
Therefore, 4 : 5 > 2 : 3.
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