Find six rational numbre between2—5 and 2—3
Answers
Answer:
Hello , .........
here is Ur answer ★
we have to find ten rational number between
\frac{2}{3} + \frac{2}{5}
3
2
+
5
2
Sol.
Five rational number 2/3 and 2/5 .
Let
\begin{lgathered}x = \frac{2}{3} \: \: y = \frac{2}{5} \: \: and \: \: n = 10 \\ \\ d = \ ( \frac{y - x}{n + 1} ) = > \frac{ \frac{2}{5} - \frac{2}{3} }{10 + 1} = > \frac{ \frac{4}{15} }{11} \\ \\ = > \frac{4}{15} \times \frac{1}{11} = \frac{4}{165}\end{lgathered}
x=
3
2
y=
5
2
andn=10
d= (
n+1
y−x
)=>
10+1
5
2
−
3
2
=>
11
15
4
=>
15
4
×
11
1
=
165
4
Five rational number between X and Y are :
=> (x+d), (x+2d) , (x+3d) , (x+4d) , (x+5d) , (x+6d) , (x+7d) , (x+8d) , (x+9d) , (x+10d)
=>
\begin{lgathered}( \frac{2}{3} + \frac{4}{165} ), \: \: ( \frac{2}{3} + \frac{8}{165} ), \: \: ( \frac{2}{3} + \frac{12}{165} ) ,\: \: ( \frac{2}{3} + \frac{16}{165} ), \\ \\ ( \frac{2}{3} + \frac{20}{165} ), \: \: ( \frac{2}{3} + \frac{24}{165} ) ,\: \: ( \frac{2}{3} + \frac{28}{165} ) ,\: \: ( \frac{2}{3} + \frac{32}{165}), \: \: \\ \\ ( \frac{2}{3} + \frac{36}{165} ) ,\: \: ( \frac{2}{3} + \frac{40}{165} )\end{lgathered}
(
3
2
+
165
4
),(
3
2
+
165
8
),(
3
2
+
165
12
),(
3
2
+
165
16
),
(
3
2
+
165
20
),(
3
2
+
165
24
),(
3
2
+
165
28
),(
3
2
+
165
32
),
(
3
2
+
165
36
),(
3
2
+
165
40
)
if we do Lcm all these ......
we get ★
\begin{lgathered}\frac{114}{165} ,\: \: \frac{118}{165}, \: \: \frac{122}{165}, \: \: \frac{126}{165} ,\: \: \frac{130}{165} ,\: \: \frac{134}{165} ,\: \: \frac{138}{165} ,\\ \\ \frac{142}{165} ,\: \: \frac{146}{165} ,\: \: \frac{150}{165}\end{lgathered}
165
114
,
165
118
,
165
122
,
165
126
,
165
130
,
165
134
,
165
138
,
165
142
,
165
146
,
165
150
HERE is ten rational numbers between 2/3 and 2/5.
hope it's helpful for you☺☺
Answer:
Answer:
5 rational numbers smaller than 2 are.
-4, -3, -2, -1, 1.
Step-by-step explanation:
Rational numbers are those numbers which can be expressed in the form of fraction i.e in the form of p by q where value of denominator i.e of q can't be equals to 0.
∴ 5 rational numbers smaller than 2 are.
-4, -3, -2, -1, 1.