Multiples of unit fractions

Worked solution

1. 1

   Identify the size of each piece.

   $\frac{1}{4}$

   Four such equal pieces would rebuild the original strip.

2. 2

   Combine all three pieces.

   $\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{3}{4}$

   Three pieces are counted while their size remains one quarter.

Worked solution

1. 1

   Divide the whole strip equally.

   $3\text{equal parts}$

   The denominator in thirds tells us the whole needs three equal parts.

2. 2

   Choose two of the parts.

   $\frac{2}{3}$

   The numerator tells us to shade two of the three parts.

3. 3

   Check the unshaded part.

   $3-2=1$

   Exactly one of the three equal parts should remain unshaded.