Math, asked by sinha26rashmi, 7 months ago

determine the longest tape which can be used to measure exactly the length 7 m, 35 cm and 12 m 95 CM​

Answers

Answered by sultanasamiya660
2

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.

Answered by Anonymous
2

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.

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