find two rational no between 6/7 and 13/7
Answers
Answer:
Take average of -7/13 & 8/13, to get a new rational number.
Take any two numbers from above three and find a new average. That is also a rational number.
Continue this process till it ends …
Will it ever end ?
=> There are infinite rational numbers between two rational numbers.
:-)
Answer:
Answer:
\frac{78}{91}
91
78
and \frac{84}{91}
91
84
Step-by-step explanation:
Given : Two numbers \frac{6}{7}
7
6
and \frac{12}{13}
13
12
To find : Two irrational numbers between them.
Solution : First we make the denominator same for that we take,
LCM of 7 and 13 = 91
Now make the denominator 91 in both the numbers,
In \frac{6}{7}
7
6
multiply numerator and denominator by 13
\frac{6}{7}=\frac{6\times13}{7\times13}=\frac{78}{91}
7
6
=
7×13
6×13
=
91
78
In \frac{12}{13}
13
12
multiply numerator and denominator by 7
\frac{12}{13}=\frac{12\times7}{13\times7}=\frac{84}{91}
13
12
=
13×7
12×7
=
91
84
Therefore, \frac{78}{91}
91
78
and \frac{84}{91}
91
84
both are irrational
numbers between \frac{6}{7}
7
6
and \frac{12}{13}
13
12