Question

Write the following rational numbers in ascending and descending order
-3/5,-7/10,-15/20,-14/30,-8/15​

Answer 1

Answer:

ascending order= -15/20>-14/20>-8/15>-3/5

desending order=15/20<-14/20<-8/15<-3/5

Answer 2

Final answer: Descending order -14/30 > -8/15 > -3/5 > -7/10 > -15/20. Ascending order  -15/20 < -7/10 < -3/5 < -8/15 < -14/30.    

Given that: We are given -3/5,-7/10,-15/20,-14/30,-8/15​.

To find: We have to find the given rational numbers in ascending and descending order.

Explanation:

• Following guidelines are used for arrange rational numbers in decreasing and ascending order.

Step 1: write given rational number in positive denominator.

Step 2: Find the Least common denominator and write the given rational numbers using LCM a common denominator.

Step 3: compare the numerators. Rational number having highest numerator is the largest number and rational number having smallest numerator is the smallest number.

• Given rational numbers are -3/5,-7/10,-15/20,-14/30,-8/15

• Given rational number are already with positive denominators.

• LCM of denominators 5, 10, 20, 30, 15 is 60

• Write given rational numbers with the LCM in terms of common denominator.

-3/5 = (-3 * 12) / (5 * 12) = -36/60

-7/10 = (-7 * 6) / (10 * 6) = -42/60

-15/20 = (-15 * 3) / (20 * 3) = -45/60

-14/30 = (-14 * 2) / (30 * 2) = -28/60

-8/15 = (-8 * 4) / (15 * 4) = -32/60

• All the numerators of the rational numbers are negative numbers the lesser negative numerator is the highest fraction.
• Therefore, rational numbers in descending order are

            -14/30 > -8/15 > -3/5 > -7/10 > -15/20

• Rational numbers in ascending order are

            -15/20 < -7/10 < -3/5 < -8/15 < -14/30

To know more about the concept please go through the links

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