Using appropriate property find value of minus 2 by 3 into 5 by 6 minus 2 by 3 into 4 by 7
Answers
Step-by-step explanation:
−2
×
5
3
+
2
5
−
5
3
×
6
1
=2
Step-by-step explanation:
\begin{gathered} Given \\ \frac{-2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}\end{gathered}
Given
3
−2
×
5
3
+
2
5
−
5
3
×
6
1
/* Rearranging the terms ,we get
=\frac{-2}{3}\times \frac{3}{5}-\frac{3}{5}\times \frac{1}{6}+\frac{5}{2}=
3
−2
×
5
3
−
5
3
×
6
1
+
2
5
=\frac{3}{5}\left(\frac{-2}{3}-\frac{1}{6}\right)+\frac{5}{2}=
5
3
(
3
−2
−
6
1
)+
2
5
=\frac{3}{5}\left(\frac{-4-1}{6}\right)+\frac{5}{2}=
5
3
(
6
−4−1
)+
2
5
=\frac{3}{5}\left(\frac{-5}{6}\right)+\frac{5}{2}=
5
3
(
6
−5
)+
2
5
=\frac{-1}{2}+\frac{5}{2}=
2
−1
+
2
5
\begin{gathered}=\frac{-1+5}{2}\\=\frac{4}{2}\\=2\end{gathered}
=
2
−1+5
=
2
4
=2
Therefore,
\frac{-2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}=2
3
−2
×
5
3
+
2
5
−
5
3
×
6
1
=2