Question

*What will be the third number in ascending order of the given numbers?*

1️⃣ - 3/5
2️⃣ - 4/7
3️⃣ - 1/3
4️⃣ - 6 /11​

Answer 1

Given :- What will be the third number in ascending order of the given numbers ?

1) - 3/5

2) - 4/7

3) - 1/3

4) - 6 /11

Answer :-

→ (-3/5) , (-4/7) , (-1/3) , (-6/11)

taking LCM of denominator we get, (5 * 7 * 3 * 11) = 1155 .

now, multiply and divide by LCM to all terms ,

→ {(-3/5) * (1155/1155)} , {(-4/7) * (1155/1155)} , {(-1/3) * (1155/1155)} , {(-6/11) * (1155/1155)}

so,

→ (-693/1155) , (-660/1155) , (-385/1155) , (-630/1155)

then, writing in ascending order we get,

→ (-693/1155) < (-660/1155) < (-630/1155) < (-385/1155)

or,

→ (-3/5) < (-4/7) < (-6/11) < (-1/3) .

therefore, the third number in ascending order will be (-6/11) (option 4) (Ans.)

Learn more :-

*Which of the given numbers are in continued proportion?*

1️⃣ (2,4,8)

2️⃣ (1,2,3)

3️⃣ (6,9,8)

4️⃣ (3,5,8)

brainly.in/question/39267290

*If 4 : 3 = y : 9 then y = ?*

1️⃣ 36

2️⃣ 27

3️⃣ 12

4️⃣ 0

brainly.in/question/39267349

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

What will be the third number in ascending order of the given numbers

1. - 3/5

2. - 4/7

3. - 1/3

4. - 6 /11

EVALUATION

STEP : 1

Write down the given numbers

Here the given numbers are

$\displaystyle \sf{ - \frac{3}{5} \:, \: - \frac{4}{7} \: , \: - \frac{1}{3} \:, \: - \frac{6}{11} }$

STEP : 2

Express them in decimal

$\displaystyle \sf{ - \frac{3}{5} = - 0.6}$$\displaystyle \sf{- \frac{4}{7} = - 0.571 \: \: (approx) }$

$\displaystyle \sf{- \frac{1}{3} = - 0.333 \: \: (approx) }$

$\displaystyle \sf{- \frac{6}{11} = - 0.545 \: \: (approx) }$

STEP : 3

Write down the numbers in ascending order

0.6 > 0.571 > 0.545 > 0.333

$\sf{ \implies - 0.6 < - 0.571 < - 0.545 < - 0.333} <$

$\displaystyle \sf{ \implies \: - \frac{3}{5} < - \frac{4}{7} < - \frac{6}{11} < - \frac{1}{3} }$

STEP : 4

Choose the correct option

Hence the correct option is

$\displaystyle \sf{ 4. \: \: \: - \frac{6}{11} }$

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