Question

4.A board is 7 3/4 feet in length. How many full sizes pieces of board 1 1/3 feet in length can a carpenter cut from that board of wood

Answer 1

5 full pieces

Explanation:

Given

`Board\ Length = 7(3)/(4)ft`

`Pieces = 1(1)/(3)ft`

Required

Determine the number of pieces that can be cut from the board

This is calculated by dividing the board length by the length of each piece.

`Number = (Board\ Length)/(Pieces)`

`Number = 7(3)/(4) / 1(1)/(3)`

Convert to improper fractions

`Number = (31)/(4) / (4)/(3)`

Change / to *

`Number = (31)/(4) * (3)/(4)`

`Number = (31*3)/(4*4)`

`Number = (93)/(16)`

`Number = 5.8125`

Round down to discard the decimal parts

`Number = 5`

Hence, the carpenter can cut full-sized 5 pieces