5. Find four rational numbers between
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Answer:
Find four rational numbers between?????.
Write full question and ask.
Between whom............
if you have to find rational numbers between any number then take the lcm of denominator of both the number...now multiply the lcm with both the denominators of number...what number which is multiplied to the denominator it will be multiplied to numerator as well...
let's take an example .-
Find 4 rational numbers between 4/6 and 3/4
first take the lcm of denominator of both the numbers that is 4 and 6 and the lcm is 12 .
now lcm is 12 so see should think that what should be multiplied to the 1st denominator of the number 3/4..
as you know 4 ×3= 12 ..
so we multiply 4 with 3 to get 12 .
and as we know what number we multiply to denominator. it is multiplied to the numerator same
therefore.-
3/4=3×3/4×3=9/12
and same with 4/6
12 comes 2 times in 6 so we will multiply 2 with denominator as well 2 to denominator...
so 4/6=4×2/6×2=8/12 ..
now you can see we can find only one rational numbers between them that is 8/12
so to obtain more than 1 rational number we will multiply both with 10/10..
8/12 = 8×10/12,×10=80/120.
9/12=9×10/12×10=90/120.
so 4 rational number between them are 81/120,82/120,83/120, and..84,120