Question

Joe wants to saw a wooden plank into 3/4-meter pieces. The length of the wooden plank is 3 3/4 meters. How many 3/4 -meter pieces can Joe saw from the wooden plank?

A. 3
B. 4
C. 5
D. 6

Answer 1

Joe can cut the wooden plank into 5 pieces of 3/4-meter each by first converting the total length to an improper fraction (15/4 meters) and then dividing by the length of each piece (3/4 meters).

Step-by-step explanation:

Joe wants to cut a wooden plank into pieces that are each 3/4-meter long. The plank itself is 3 3/4 meters in length. To find out how many pieces can be cut from the plank, we start by converting the length of the plank into a format that is easier to work with, such as improper fractions or decimals. Since Joe is cutting the plank into pieces that are 3/4 of a meter each, we should use fractions.

First, let's convert 3 3/4 meters to an improper fraction:

3 3/4 meters = (3 × 4 + 3)/4 = (12 + 3)/4 = 15/4 meters

Now we can divide the total length of the plank by the length of each piece:

15/4 meters ÷ 3/4 meter = (15/4) × (4/3) = 15/3 = 5

Joe can saw the plank into 5 pieces that are each 3/4-meter long.