compute1/3×(6-4/3) using suitable property. please tell me in process
Answers
Answer:
Computation by suitable property:
1/3× (6-4/3)
1/3×6 - 1/3×4/3
2 - 4/9 = (18-4)/9 = 14/9 Ans.
Step-by-step explanation:
Associative property of multiplication is used to show \frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}
3
1
(6×
3
4
)=(
3
1
×6)×
3
4
Step-by-step explanation:
Given : \frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}
3
1
(6×
3
4
)=(
3
1
×6)×
3
4
We have to state which property is used to show \frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}
3
1
(6×
3
4
)=(
3
1
×6)×
3
4
Associative property of multiplication states for any three real numbers a , b and c , we have,
(a\times b)\times c= a\times(b\times c)(a×b)×c=a×(b×c)
Similarly, here
\begin{gathered}a=\frac{1}{3}\\\\ b=6 \\\\ c=\frac{4}{3}\end{gathered}
a=
3
1
b=6
c=
3
4
Thus, \frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}
3
1
(6×
3
4
)=(
3
1
×6)×
3
4
holds.
Therefore, Associative property of multiplication is used to show \frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}
3
1
(6×
3
4
)=(
3
1
×6)×
3
4
dont know is this corrrect or wrong but i am gainning points