Insert six Rational Numbers between -3/7 and 2/5.
Answers
Step-by-step explanation:
Hello Mate!
We will use formulae ( r + s ) / 2,
\begin{gathered}( \frac{ - 3}{7} + \frac{2}{5} ) \div 2 \\ ( \frac{ - 15 + 14}{35} ) \times \frac{1}{2} = \frac{ - 1}{70} \end{gathered}
(
7
−3
+
5
2
)÷2
(
35
−15+14
)×
2
1
=
70
−1
In , -3/7 and -1/70 we have
\begin{gathered}( \frac{ - 3}{7} + \frac{ - 1}{70} ) \div 2 \\ \frac{ - 31}{140} \end{gathered}
(
7
−3
+
70
−1
)÷2
140
−31
In, -3/7 and - 31/140
\begin{gathered}( \frac{ - 3}{7} + \frac{ - 31}{140} ) \div 2 \\ \frac{ - 60 + ( - 31)}{28 0} = \frac{ - 91}{280} \end{gathered}
(
7
−3
+
140
−31
)÷2
280
−60+(−31)
=
280
−91
In, -1/70 and 2/5 we have
\begin{gathered}( \frac{ - 1}{70} + \frac{2}{5} ) \div 2 \\ \frac{27}{140} \end{gathered}
(
70
−1
+
5
2
)÷2
140
27
In 27/140 and 2/5 we have
\begin{gathered}( \frac{27}{140} + \frac{2}{5} ) \div 2 \\ \frac{27 + 56}{280} = \frac{83}{280} \end{gathered}
(
140
27
+
5
2
)÷2
280
27+56
=
280
83
Hope it helps☺!