Answer:
1) Fill in the Blanks
The First Blank is 1/2 because 1/2 + 1/2 = 1
The Second Blank is 3/4 because 3/4 + 1/4 = 1
The Third Blank is 1/3 because 1/3 + 2/3 = 1
2) Find the LCD
The Least Common Denominator (also known as LCD) is 60
To find this, find the number that each of the denominators can multiply to and have the same one together.
3) Find the length of the final scarf
A full scarf has a length of 150cm
We must use the fragment that is 1/2 this size
150 ÷ 2 = 75
We must use the second fragment which is 3/4 150cm
Divide the scarf into 4 pieces
150 ÷ 4 = 37.5
We need 3 1/4 fragments to = 3/4
37.5 x 3 = 112.5
The final fragment is 1/3 the length of the full scarf
We must divide the scarf into 3 sections
150 ÷ 3 = 50
The three lengths we just found were 75cm, 112.5cm, and 50cm
Add all of the lengths up to find the final length of the last scarf
75 + 112.5 + 50 = 237.5cm
The Final scarf length is 237.5cm
