Which of the following has fractions in descending order ?

Which of the following has fractions in descending order ?
1). $$\frac{7}{8},\frac{5}{7},\frac{2}{3},\frac{3}{5}$$
2). $$\frac{3}{5},\frac{2}{3},\frac{5}{7},\frac{7}{8}$$
3). $$\frac{7}{8},\frac{5}{7},\frac{3}{5},\frac{2}{3}$$
4). $$\frac{2}{3},\frac{3}{5},\frac{5}{7},\frac{7}{8}$$

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Guest · Answer 1 · 2019-04-07 20:39:43

Solution

In order to find the order of the fractions in descending order, we should represent all the fractions with the same denominator.
In order to do this, we should find the LCM of 8,7,3 and 5.

The LCM of 3,5,7 and 8 is 840.
$\frac{2}{3} = \frac{560}{840}$
$\frac{3}{5} = \frac{504}{840}$
$\frac{5}{7} = \frac{600}{840}$
$\frac{7}{8} = \frac{735}{840}$

So, the descending order is $\frac{735}{840}$,$\frac{600}{840}$,$\frac{560}{840}$,$\frac{504}{840}$
This is $\frac{7}{8}$,$\frac{5}{7}$,$\frac{2}{3}$,$\frac{3}{5}$ and the correct option is option (a)

Guest · Answer 2 · 2019-04-26 20:12:55

Solution

In order to find the order of the fractions in descending order, we should represent all the fractions with the same denominator.
In order to do this, we should find the LCM of 8,7,3 and 5.

The LCM of 3,5,7 and 8 is 840.
$\frac{2}{3} = \frac{560}{840}$
$\frac{3}{5} = \frac{504}{840}$
$\frac{5}{7} = \frac{600}{840}$
$\frac{7}{8} = \frac{735}{840}$

So, the descending order is $\frac{735}{840}$,$\frac{600}{840}$,$\frac{560}{840}$,$\frac{504}{840}$
This is $\frac{7}{8}$,$\frac{5}{7}$,$\frac{2}{3}$,$\frac{3}{5}$ and the correct option is option (a)

Which of the following has fractions in descending order ?

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