Question

*Which of the following options represent 2/3, 8/9, 4/5, and 11/15 in the decreasing order?*

1️⃣ 11/15 > 4/5 > 8/9 > 2/3
2️⃣ 4/5 > 11/15 > 2/3 > 8/9
3️⃣ 8/9 > 4/5 > 11/15 > 2/3
4️⃣ 2/3 > 11/15 > 4/5 > 8/9​

Answer 1

Answer:

• 5/10
• 1/10
• 4/10
• 5/5
• 4/5
• 10/10

Answer 2

Answer:

Required answer is $\frac{2}{3} > \frac{11}{15} > \frac{4}{5} > \frac{8}{9}$

So, option 4 is the correct answer.

Step-by-step explanation:

Given four fractions are 2/3, 8/9, 4/5, and 11/15.

We want to arrange this fractions in the decreasing order.

First we need to make denominator of all fractions are same.

So we are calculating LCM of 3,9,5 and 15.

By prime factorisation,

$3 = 3 \\ 9 = 3 \times 3 \\ 5 = 5 \\ 15 = 3 \times 5$

Therefore LCM of 3,9,5 and 15 is (3×3×5) = 45

For the fraction $\frac{2}{3}$

We are multiplying denominator and numerator by 15 and get

$\frac{2 \times 15}{3 \times 15} = \frac{30}{45}$

For the fraction $\frac{8}{9}$

We are multiplying denominator and numerator by 5 and get

$\frac{8 \times 5}{9 \times 5} = \frac{40}{45}$

For the fraction $\frac{4}{5}$

We are multiplying denominator and numerator by 9 and get

$\frac{4 \times 9}{5 \times 9} = \frac{36}{45}$

For the fraction

$\frac{11}{15}$

We are multiplying denominator and numerator by 3 and get

$\frac{11 \times 3}{15 \times 3} = \frac{33}{45}$

It is clear that,

$\frac{30}{45} > \frac{33}{45} > \frac{36}{45} > \frac{40}{45}$

Therefore,

$\frac{2}{3} > \frac{11}{15} > \frac{4}{5} > \frac{8}{9}$

This is a problem of fraction.

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