Question

arrange -10/9, 2/9, 5/12, 7/18 in descending order​

Answer 1

Answer:

arrange -10/9, 2/9, 5/12, 7/18 in descending order​

Step-by-step explanation:

Step 1:  Convert all the term into like fraction

-10/9 = -40 / 36

2/9 =  8 / 36

5/12 = 15 / 36

7/18 = 14 / 36

Step 2: now arrange in descending order

15/36,   14/36,   8/36,    -40/36

Step 3 : now simplify and answer is

5/12,   7/18,   2/9,   -10/9

Answer 2

The descending order of the given fractions is

$\quad\dfrac{5}{12},\dfrac{7}{18},\dfrac{2}{9},-\dfrac{10}{9}$

or, $\dfrac{5}{12}>\dfrac{7}{18}>\dfrac{2}{9}>-\dfrac{10}{9}$

Step-by-step explanation:

To find:

Arrangement of $-\dfrac{10}{9},\dfrac{2}{9},\dfrac{5}{12},\dfrac{7}{18}$ in descending order

Solution:

Step 1. finding lcm of the denominators

Here the denominators of the given fractions are 9, 9, 12 and 18.

• 9 = 3 × 3
• 12 = 2 × 2 × 3
• 18 = 2 × 3 × 3

Then required lcm = 2 × 2 × 3 × 3 = 36

Step 2. equating the denominators with their lcm

If we want to equate the denominators with their lcm, we must find a number by which it is to be multiplied. Since we must have an equivalent fraction, we do the same with the numerators.

$-\dfrac{10}{9}=-\dfrac{10\times 4}{9\times 4}=-\dfrac{40}{36}$

$\dfrac{2}{9}=\dfrac{2\times 4}{9\times 4}=\dfrac{8}{36}$

$\dfrac{5}{12}=\dfrac{5\times 3}{12\times 3}=\dfrac{15}{36}$

$\dfrac{7}{18}=\dfrac{7\times 2}{18\times 2}=\dfrac{14}{36}$

Step 3. finding the descending order of the equivalent fractions

Clearly, $\dfrac{15}{36}>\dfrac{14}{36}>\dfrac{8}{36}>-\dfrac{40}{36}$