5.
Find a rational number between
2/3 and 3/4
[Hint: First write the rational numbers with equal denominators.]
Answers
Answer:
The rational number between 2/3 and 3/4 is 17/24
To find:
rational number between 2/3 and 3/4
Solution:
Given numbers are 2/3 and 3/4
Rational number: Rational is a number that can be written in terms of “numerator” upon the “denominator”, but denominator should not be equal to zero. The numerator and denominator are the integers.
Rational number is in the form of p/q, here q≠0
Where p is the “numerator” and q is the “denominator”
The formula to find the rational number between two numbers is \frac {(a+b)}{2}
2
(a+b)
\begin{gathered}\begin{array} { l } { \text { Here } a = \frac { 2 } { 3 } } \\\\ { \mathrm { b } = \frac { 3 } { 4 } } \\\\ { = \frac { ( \frac { 2 } { 3 } + \frac { 3 } { 4 } ) } { 2 } } \end{array}\end{gathered}
Here a=
3
2
b=
4
3
=
2
(
3
2
+
4
3
)
\begin{gathered}\begin{array} { l } { = \frac { ( \frac { 8 + 9 } { 12 } ) } { 2 } } \\\\ { = \frac { 17 } { 24 } } \end{array}\end{gathered}
=
2
(
12
8+9
)
=
24
17
Therefore, the rational number between 2/3 and 3/4 is 17/24
Step-by-step explanation:
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Answer:
lcm of 3 and 4 is 12
so the two no. are 8/12 and 9/12
the no. between is 8.5/12 = 85/120 = 13/60
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