Determine the longest tape which can be used to measure exactly the length 7 m, 3m85cm, and 12m95cm
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The tape will differ its lenght as many tapes can be used of different lengths
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Answer:
First change the length into cm.
[1m= 100cm]
7m=700cm
3m 85cm= 3x100+85= 385cm 12m95cm= 12x100+95-1295cm
Find the H.C.F of 3 lengths 700cm, 385cm, 1295cm
700= 2x 2x 5x5x7 = 2²x5²x7
385= 5x7x11
1295-5x7x37
H.C.F= 5x7 = 35
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The longest tape which can be used to measure exactly the length 700cm. 385cm & 1295cm = 35
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