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Byju's Answer
Standard VI
Mathematics
Converting a Common Fraction into Decimal
John cuts out...
Question
John cuts out
3
5
th of a cake. Then he shares
3
4
th of his portion of cake, with his friend Anna.
What fraction of the cake does Anna have?
A
9
20
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B
3
20
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C
11
20
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D
7
20
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Solution
The correct option is
A
9
20
John's portion of the cake
=
3
5
Fraction of John's portion of cake, shared with
Anna
=
3
4
Fraction of cake with Anna
=
3
5
×
3
4
Calculating
3
5
×
3
4
using visual models,
we get:
Total parts
=
20
Total area
=
1
×
1
=
1
sq. unit
Area of each section
=
1
20
sq. unit
Area of overlapping section
=
1
20
×
9
=
9
20
sq. units
∴
The fraction of cake with Anna is
9
20
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Q.
John cuts out
3
5
th of a cake. Then he shares
3
4
th of his portion of cake, with his friend Anna.
What fraction of the cake does Anna have?
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