determine the longest tape which can be used to measure exactly the length 7 m, 35 cm and 12 m 95 CM
Answers
Answer:
The length of the longest tape is 35 cm which can be used to measure exactly the length 7 m, 3 m 85 cm and 12 m 95 cm.
Answer:
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Step-by-step explanation:
To find the length of the longest tape to be used for measuring the 7 m, 4 m 85 cm and 12 m 95 cm exactly, we have to find the H.C.F. of these lengths.
7 m = 700 cm
3 m 85 cm = 385 cm
12 m 95 cm = 1295 cm
H.C.F. of 700, 385 and 1295
________________
5 | 700, 385, 1295
|_____________
7 | 140, 77, 259
|_____________
| 20, 11, 37
|
H.C.F. of 700, 385 and 1295 = 5*7 = 35
= 35 cm
The length of the longest tape is 35 cm which can be used to measure exactly the length 7 m, 3 m 85 cm and 12 m 95 cm.