Question

A piece of wire 21/4 metre long broke into two pieces . One piece was 11/12 metre long . How long is the other piece ?

Answer 1

Given,

A piece of wire 21/4 metre long broke into two pieces . One piece was 11/12 metre long.

To Find,

The length of the other piece.

Solution,

Total length of the wire = 21/4 m

Length of one piece = 11/12 m

Length of the other piece = Total length of the wire - Length of first piece

= $\dfrac{21}{4}-\dfrac{11}{12}$

As the denominators are different, we must take the LCM.

LCM = 12

=$\dfrac{63}{12}-\dfrac{11}{12}$

=$\dfrac{52}{12}$

Simplifying the value,

= $\dfrac{13}{3}or4.\bar3$

∴ Required answer $\dfrac{13}{3}or4.\bar3$.