Find 10 rational nos. Between 1/3 and 1/4
Answers
Step-by-step explanation:
The rational number between 1/4 and 1/3 is 7/24.
To find:
Rational number between 1/4 and 1/3
Solution:
When we want to find out rational number between two rational numbers, we have to take the arithmetic mean of those two numbers. Hence, if we want to find rational number between 1/4 and 1/3, we will have to calculate their arithmetic mean.
\begin{gathered}\begin{array} { c } { \left( \frac { 1 } { 2 } \right) \left( \frac { 1 } { 4 } + \frac { 1 } { 3 } \right) } \\\\ { = \left( \frac { 1 } { 2 } \right) \left( \frac { 3 } { 12 } + \frac { 4 } { 12 } \right) } \\\\ { = \left( \frac { 1 } { 2 } \right) \left( \frac { 7 } { 12 } \right) } \\\\ { = \frac { 7 } { 24 } } \end{array}\end{gathered}
(
2
1
)(
4
1
+
3
1
)
=(
2
1
)(
12
3
+
12
4
)
=(
2
1
)(
12
7
)
=
24
7
Hence, the rational number between 1/4 and 1/3 is 7/24.
Answer:
answer
Step-by-step explanation:
first we will find the LCM of 1/3 and 1/4:
LCM of 3and4 is 12 so , 1/3=4/12 and 1/4=3/12 ,now we will multiply 4/12and 3/12 by 100 .we will get 400/1200 and 300/1200 .
now the ten rational no.will be::
401/1200,402/1200,403/1200,404/1200,405/1200,406/1200,407/1200,408/1200,409/1200,410/1200:
hope it helps