Question

find 10 rational numbers between 3 by 5 and 5 by 12 using LCM method

Answer 1

[ to find 10 rational no. between two no., we need to make the dinominators of the no. equal, to make the dinominators equal we need to find the LCM of 5 & 12, i.e. 60 ]

[ then do as follows ]


$\frac{3}{5} = \frac{3 \times 12}{5 \times 12} = \frac{36}{60}$

$\frac{5}{12} = \frac{5 \times 5}{12 \times 5} = \frac{25}{60}$

♦ 10 rational no. between 3/5 & 5/12 are


$\frac{26}{60} \: \frac{27}{60} \: \frac{28}{60} \: \frac{29}{60} \: \frac{30}{60} \: \frac{31}{60} \: \frac{32}{60} \: \frac{33}{60} \: \frac{34}{60} \: \frac{35}{60}$

I hope this answer helps you !

Answer 2

Step-by-step explanation:

first we have to equal the denomination

3/5 = 3×12/5/12 =36/60

5/12 =5×5/12×5 = 25/60

10 rational numbers between them is 26/60 27/60, 28/60, 29/60, 30/60, 31/60, 32/60, 33/60, 34/60, 35/60