Arrange the following in descending order

1/5 , 3/7 , 7/10 , 13/28

Please show how to solve it also..

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Question

Arrange the following in descending order
1/5 , 3/7 , 7/10 , 13/28
Please show how to solve it also

Varun.Rawat · Accepted Answer

At first we will find the LCM of denominators 5, 7, 10 and 28.

LCM = 140

now, we will convert each of the given fraction into their equivalent fraction having the denominator = 140

$\frac{1}{5} = \frac{1 \times 28}{5 \times 28} = \frac{28}{140} \frac{3}{7} = \frac{3 \times 20}{7 \times 20} = \frac{60}{140} \frac{7}{10} = \frac{7 \times 14}{10 \times 14} = \frac{98}{140}$

$\frac{13}{28} = \frac{13 \times 5}{28 \times 5} = \frac{65}{140}$

⇒ $\frac{98}{140} > \frac{65}{140} > \frac{60}{140} > \frac{28}{140}$ $\Rightarrow \frac{7}{10} > \frac{13}{28} > \frac{3}{7} > \frac{1}{5}$

$\Rightarrow \frac{7}{10} > \frac{13}{28} > \frac{3}{7} > \frac{1}{5}$

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Arrange the following in descending order 1/5 , 3/7 , 7/10 , 13/28 Please show how to solve it also..

Arrange the following in descending order

1/5 , 3/7 , 7/10 , 13/28

Please show how to solve it also..