determine the longest tape which can be used to measure exactly the lengths 7m, 3m 85 cm and 12m 95cm
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Hey mate! This is your answer.
Step-by-step explanation:
First change the length into cm.
[1m= 100cm]
7m= 700cm
3m 85cm= 3×100+85= 385cm
12m95cm= 12×100+95=1295cm
Find the H.C.F of 3 lengths 700cm, 385cm, 1295cm
700= 2× 2× 5×5×7 = 2²×5²×7
385= 5×7×11
1295= 5×7×37
H.C.F= 5×7 = 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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Hope it helps!
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