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