Question

Determine the longest tape which can be used to measure exactly lenghts 7 m , 3 m 85 cm and 12 m 95 cm

Answer 1

Answer:

3rd tape is the longest tape

Answer 2

Step-by-step explanation:

First change the length into cm.

[1m= 100cm]

7m= 700cm

3m 85cm= 3x100+85= 385cm

12m95cm= 12×100+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

The longest tape which can be used to measure exactly the length 700cm, 385cm & 1295cm = 35

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