Compare the rational numbers an -4/9 and 5/-6
Answers
Step-by-step explanation:
Step 1: Check the given rational numbers
Step 2: Write down the given rational numbers in a way that they have their denominators the same.
Step 3: Determine the Least Common Multiple of the Positive Denominators you obtained in the earlier step.
Step 4: Express rational numbers obtained in the second step using the LCM obtained as Common Denominator.
Step 5: Compare the numerators of rational numbers obtained and declare the one having a greater numerator as a greater rational number.
Solved Examples
1. Of the two rational numbers which is greater 2/3 or 5/7?
Solution:
Given Rational Numbers are 2/3, 5/7
LCM of 3, 7 is 21
Expressing the rational numbers with the same denominator using the LCM obtained we get
Therefore, we get 2/3 = (2*7)/(3*7) = 14/21
5/7 = (5*3)/(7*3) = 15/21
See the numerators of both the rational numbers obtained i.e. 14/21, 15/21
Since 15 is greater the rational number 5/7 is greater.
Therefore, of the two rational numbers, 2/3 and 5/7, 5/7 is greater.
2. Which of the two rational numbers 2/5 and -3/4 is greater?
Solution:
Given Rational Numbers are 2/5 and -3/4
We clearly know between a positive rational number and a negative rational number positive rational number is always greater.
Therefore, 2/5 is greater than -3/4.
3. Which is greater among -1/2 and – 1/5?
Solution:
Given rational numbers are -1/2 and -1/5
LCM of 2, 5 is 10
Expressing the rational numbers with the same denominator using the LCM obtained.
-1/2 = (-1*5)/(2*5)= -5/10
-1/5 = (-1*2)/(5*2) = -2/10
-2 > -5
Therefore, – 1/5 is greater than -1/2.
4. Which of the numbers 3/4 and -3/4 are greater?
Solution:
We know that every positive rational number is greater than a negative rational number. Therefore, 3/4 is greater than -3/4.
Answer:
ghytttttttc)Mr. Sinha earns Rs. 40,000 per month. He spends 2/8 of his income on food,
1/4 of the remaining on rent and then 1/5 of the remaining on other expenses.
Find how much money is left with him.