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

Answer:

5 full pieces

Step-by-step explanation:

Given

$Board\ Length = 7\frac{3}{4}ft$

$Pieces = 1\frac{1}{3}ft$

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.

$Number = \frac{Board\ Length}{Pieces}$

$Number = 7\frac{3}{4} / 1\frac{1}{3}$

Convert to improper fractions

$Number = \frac{31}{4} / \frac{4}{3}$

Change / to *

$Number = \frac{31}{4} * \frac{3}{4}$

$Number = \frac{31*3}{4*4}$

$Number = \frac{93}{16}$

$Number = 5.8125$

Round down to discard the decimal parts

$Number = 5$

Hence, the carpenter can cut full-sized 5 pieces