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Standard VII
Mathematics
Types of Fractions
Question
Represent the following mixed infinite decimal periodic fractions as common fractions:
2
(
a
+
b
)
−
1
(
a
b
)
1
/
2
⎛
⎝
1
+
1
4
(
√
a
b
−
√
b
a
)
2
⎞
⎠
1
/
2
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Solution
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2
(
a
+
b
)
−
1
(
a
b
)
1
2
(
1
+
1
4
(
√
a
b
−
√
b
a
)
2
)
1
2
=
2
(
a
+
b
)
−
1
√
a
b
(
4
a
b
+
(
a
−
b
)
2
)
1
2
(
4
a
b
)
1
2
=
2
(
a
+
b
)
−
1
√
a
b
(
(
a
+
b
)
2
)
1
2
2
√
a
b
=
(
a
+
b
)
−
1
(
a
+
b
)
=
1
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Similar Questions
Q1
Represent the following mixed infinite decimal periodic fractions as common fractions:
2
(
a
+
b
)
−
1
(
a
b
)
1
/
2
⎛
⎝
1
+
1
4
(
√
a
b
−
√
b
a
)
2
⎞
⎠
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Q2
Represent the following mixed infinite decimal periodic fractions as common fractions:
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√
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Q3
Represent the following mixed infinite decimal periodic fractions as common fractions:
a
−
b
a
+
b
+
2
√
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b
:
a
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−
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−
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Q4
Represent the following mixed infinite decimal periodic fractions as common fractions:
(
√
√
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+
√
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−
(
√
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−
√
2
)
1
/
2
)
(
(
√
3
+
√
2
)
1
/
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+
√
√
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−
√
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−
1
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View Solution
Q5
Represent the following mixed infinite decimal periodic fractions as common fractions:
(
a
√
a
+
b
√
b
√
a
+
√
b
−
√
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b
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(
√
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+
√
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a
−
b
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2
View Solution