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Standard VII
Mathematics
Types of Fractions
Question
Represent the following mixed infinite decimal periodic fractions as common fractions:
x
1
/
2
+
x
−
1
/
2
1
−
x
+
1
−
x
−
1
/
2
1
+
√
x
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Solution
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x
1
/
2
+
x
−
1
/
2
1
−
x
+
1
−
x
−
1
/
2
1
+
√
x
=
1
+
x
√
x
(
1
−
x
)
+
√
x
−
1
√
x
(
√
x
+
1
)
=
1
√
x
(
1
+
x
1
−
x
−
(
√
x
−
1
)
2
1
−
x
)
=
1
+
x
−
x
−
1
+
2
√
x
(
1
−
x
)
√
x
=
2
1
−
x
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Similar Questions
Q1
Represent the following mixed infinite decimal periodic fractions as common fractions:
x
1
/
2
+
x
−
1
/
2
1
−
x
+
1
−
x
−
1
/
2
1
+
√
x
View Solution
Q2
Represent the following mixed infinite decimal periodic fractions as common fractions:
(
x
1
/
2
+
y
1
/
2
x
1
/
2
−
y
1
/
2
−
x
1
/
2
−
y
1
/
2
x
1
/
2
+
y
1
/
2
)
(
y
−
1
/
2
−
x
−
1
/
2
)
View Solution
Q3
Represent the following mixed infinite decimal periodic fractions as common fractions:
(
x
+
√
x
2
−
1
)
2
+
(
x
+
√
x
2
−
1
)
−
2
+
2
(
1
−
2
x
2
)
View Solution
Q4
Represent the following mixed infinite decimal periodic fractions as common fractions:
√
x
+
1
1
+
√
x
+
x
:
1
x
2
−
√
x
View Solution
Q5
Represent the following mixed infinite decimal periodic fractions as common fractions:
(
x
1
/
3
+
y
1
/
3
)
(
x
2
/
3
−
x
1
/
3
y
1
/
3
+
y
2
/
3
)
for
x
=
4
5
7
,
y
=
5
2
7
View Solution