Find any two rational number lying between 6
/7
and 12
/13
Answers
Step-by-step explanation:
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