Mathematics
Grade-7
Easy
Question
Joseph has a rope measuring
in. He wants to cut into pieces each of length
in. long. The number of rope pieces he gets is ___________.
- 1
- 2
- 3
- 4
Hint:
To find out how many pieces can be cut out from givrn rope we need to divide the total length of rope by the length of each piece to be cut down.
The correct answer is: 4
STEP BY STEP SOLUTION
Length of rope =![5 1 third i n.](data:image/png;base64,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)
Length of each piece = ![1 1 third i n.](data:image/png;base64,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)
How many pieces of same length can be cut down = Length of the rope
Length of each piece
Number of pieces =
![5 1 third space divided by space 1 1 third
C o n v e r t i n g space m i x e d space f r a c t i o n space i n t o space s i m p l e space f r a c t i o n space
space equals space 16 over 3 space divided by space 4 over 3 space equals space 16 over 3 space cross times space 3 over 4 space equals space 48 over 12 space equals space 4](data:image/png;base64,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)
Number of pieces that can be cut from given rope =4
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