Question

determine the longest tape which can be used to measure exactly the lengths 6m 58cm, 9m40cm and 11m 28cm.

Answer 1

Given: The measures 6m 58cm, 9m40cm and 11m 28cm.

To find: The longest tape which can be used to measure exactly the lengths

Solutions:

• Now we have given the lengths as: 6m 58cm, 9m40cm and 11m 28cm.

• Converting them in cm, we get:

                 6 m 58 cm = 600 + 58 = 658 cm

                 9 m 40 cm = 900 + 40 = 940 cm

                 11 m 28 cm = 1100 + 28 = 1128 cm

• Now taking HCF, we get:

                      2 | 658     940     1128

                      2 | 329      470      564

                      2 | 329      235      282

                      3 | 329      235      141

                   47  | 329      235      47

                      7  |  7            5           1  

                       5  | 1             5          1

                          |  1            1           1

• So the HCF is 2x2x2x3x5x7x47 = 39480.

Answer:

             So the tape required is 38 m 480 cm.