write two rational number bet 1/9 & 1/2
Answers
Step-by-step explanation:
45
−4
,
45
−3
,
45
−2
,
45
−1
,
45
2
,
45
3
,
45
4
,
45
5
,
45
8
Convert the rational numbers into equivalent rational numbers with the same denominator.
LCM of 9and5 is 45.
−
9
1
=
9×5
−1×5
=
45
−5
and
5
1
=
5×9
1×9
=
45
9
The integers between −5and9 are
−4,−3,−2,−1,0,1,2,3,4,5,6,7,8.
The corresponding rational numbers are
45
−4
,
45
−3
,
45
−2
,
45
−1
,
45
0
,
45
1
,
45
2
,
45
3
,
45
4
,
45
5
,
45
6
,
45
7
,
45
8
On selecting any 9 of them, we get 9 rational numbers between −
9
1
and
5
1
45
−4
,
45
−3
,
45
−2
,
45
−1
,
45
2
,
45
3
,
45
4
,
45
5
,
45
8
Answer:
⅓ &⅙
Step-by-step explanation:
First, let's bring both the of the fractions into fractions with equal denominators. We need to find the LCM of the denominators (i.e., 2 and 9.) The LCM is 18. Now, we need to change the denominator of the fractions seperately, without changing the overall value of the fractions. In other words, we need to find the equivalent fractions with denominators 18.
⅑*2/2=2/18.
½*9/9=9/18.
Now we can easily find many fractions between these fractions. Two of them are 3/18 and 6/18. We can change 6/18 and 3/18 into their standard forms, those are ⅓ and ⅙ respectively.
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