Question

q32 please help me to solve the problem

Answer 1

$\sf\underline{Step-by-step \: explanation}$

For this we have to take out the gcf and to convert the units

1 metre= 100 cm

7m= 700 cm

3 metre 85 cm= 385 cm

12 metre 95 cm = 1295 cm

G.C.F section

First of 700

5 | 700
5 | 140
7 | 28
2 | 4
2 | 2

700= 5×5×7×2×2

385 cm

5 | 385
11 | 77
7 | 7

385= 5×11×7

1295 cm

5 | 1295
7 | 259
37 | 37

1295= 5×7×37

The GCF will be,

700= 5×5×7×2×2

385= 5×11×7

1295= 5×7×37

The common numbers are 5 and 7

So, the GCF will be 35 (7×5)

Hence, the longest tape will be of 35 cm.
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Hope it helps u
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖