Question

Arrange in descending order 2/9,2/3,8/21​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

Answer:

9,2/3,8/21/2

Hope it will help you

Answer 2

Answer:

Mark as brainliest! ヾ(＾∇＾)

Step-by-step explanation:

Calculate LCM, the least common multiple of the numerators of the fractions

LCM will be the common numerator of the compared fractions.

The prime factorization of the numerators:

2 is a prime number;

8 = 23;

Multiply all the unique prime factors, by the largest exponents:

LCM (2, 8) = 23 = 8

Calculate LCM, the least common multiple, online calculator

Calculate the expanding number of each fraction

Divide LCM by the numerator of each fraction:

For fraction: 2/9 is 8 ÷ 2 = 23 ÷ 2 = 4;

For fraction: 2/3 is 8 ÷ 2 = 23 ÷ 2 = 4;

For fraction: 8/21 is 8 ÷ 8 = 23 ÷ 23 = 1;

Expand the fractions

Build up all the fractions to the same numerator (which is LCM).

Multiply the numerators and the denominators by their expanding number:

2/9 = (4 × 2)/(4 × 9) = 8/36;

2/3 = (4 × 2)/(4 × 3) = 8/12;

8/21 = (1 × 8)/(1 × 21) = 8/21;

The fractions have the same numerator, compare their denominators.

The larger the denominator the smaller the positive fraction.

::: Comparing operation :::

The final answer:

 

The fractions sorted in ascending order:

8/36 < 8/21 < 8/12

The initial fractions in ascending order:

2/9 < 8/21 < 2/3