A piece of wire is of length 12$\frac{3}{4}$ m. If it is cut into two pieces in such a way that the length of one piece is 5 $\frac{1}{4}$ m, what is the length of the other piece?

Given: A piece of wire is of length 12$\frac{3}{4}$ m

If it is cut into two pieces in such a way that the length of one piece is 5 $\frac{1}{4}$ m

To find: Find the length of the other pieces

Solution:

Total length of the piece of wire = 12$\frac{3}{4}$  = $\frac{12\times4+3}{4}$ = 5$\frac{1}{4}$ m

Length of one piece of wire = 5$\frac{1}{4}$ = $\frac{5\times4+1}{4}$ = $2\frac{1}{4}$ m

So the length of the other piece of wire = $\frac{51}{4} - \frac{21}{4} = \frac{51-21}{4}$

                                                                         = $\frac{30}{4} $=$\frac{15}{2}$ = 7$\frac{1}{2}$

Therefore the length of other piece is 7$\frac{1}{2}$                                                                                                                                              

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

43 Views

Kickstart Your Career

Get certified by completing the course

Get Started