Question

A piece of wire <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{7}{8}$ metre long broke into two pieces. One piece was <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{1}{4}$ metre long. How long is the other piece?
[3 marks]

Answer 1

Total length of wire = $\frac{7}{8}$ metre

Length of one piece of wire = $\frac{1}{4}$ metre

Length of other piece of wire = Length of the original wire minus the length of one piece of wire
[0.5 marks]

= $\frac{7}{8}$ – $\frac{1}{4}$
[0.5 marks]

= $\frac{(7\times 1)–(1\times 2)}{8}$
[0.5 marks]

= $\frac{7-2}{8}$
[0.5 marks]

= $\frac{5}{8}$
[0.5 marks]

∴ Length of the other piece of wire = $\frac{5}{8}$ metre.
[0.5 marks]