Question

A board of length 16 ¾ inches is cut into 4 equal pieces. If 7/8 of an inch is then removed from one of these pieces, what is the length of that piece?

Answer 1

Answer:
`(53)/(16)\ \text{or}\ 3(5)/(16)`

Explanation:

Given

Length of board is
`16\ (3)/(4)`

It is divided into 4 equal pieces i.e. length of each piece is

`\Rightarrow ((64+3)/(4))/(4)=(67)/(16)\ \text{in.}`

If
`(7)/(8)` of an inch is removed from one of the pieces then,

`\Rightarrow (67)/(16)-(7)/(8)\\\\\Rightarrow (67)/(16)-(14)/(16)=(53)/(16)\ \text{inch}`