Question

02) Arrange the following in descending order.
1. 2/9,2/3,8/21
in explained form
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Answer 1

ᴅᴇꜱᴄᴇɴᴅɪɴɢ ᴏʀᴅᴇʀ:

8/21,2/9,2/3

Step-by-step explanation:

(◕ᴥ◕) ᎻϴᏢᎬ ᎷᎽ ᎪΝՏᏔᎬᎡ ᏆՏ ᎻᎬᏞᏢҒႮᏞ ҒϴᎡ ᎽϴႮ(◕ᴗ◕)

Answer 2

Before, finding the answer. Let's find out how we can find the answer.

• In this question, we are asked to arrange the following fractions in descending order.
• So, to find that, we have to first find the Least Common Factor of the denominators.
• By this step, we can make the Denominator the same.
• Now, since the denominators are the same, we can arrange the fractions in descending order easily.

______________________

Given :

• 2/9, 2/3, 8/21

To find :

• Arrange the following in descending order

Solution :

• Let's find the LCM of the Denominators.

$\begin{array}{c|c} \underline{\sf {3}}&\underline{\sf { \: \: \: 9,3,21 \: \: \: }} \\ \underline{\sf {3}}&\underline{\sf {\; \; 3,1,7\; \; \: }}\\ \underline{\sf {7}}&\underline{\sf {\; \; 1,1,7\; \; \: }} \\\underline{\sf {}}&\underline{{\sf \; \;1,1,1\; \; \; }} \end{array}$

LCM = 3 × 3 × 7

        = 9 × 7

        = 63

• Therefore, the LCM is 63.

Now, let's make the denominators same.

$\Rightarrow \sf \dfrac{2}{9}, \dfrac{2}{3}, \dfrac{8}{21}$

$\Rightarrow \sf \dfrac{2 \times 7 }{9 \times 7} ,\dfrac{2 \times 21}{3 \times 21}, \dfrac{8 \times 3 }{21 \times 3 }$

$\Rightarrow \sf \dfrac{14}{63} ,\dfrac{42}{63}, \dfrac{24 }{63}$

• Now, since the denominators are the same, we can arrange them in descending order.

$\Rightarrow \sf \dfrac{42}{63 } \geq \dfrac{24 }{63} \geq \dfrac{14}{63}$

Therefore, the descending order of the following fractions is 42/63, 24/63 and, 14/63.