Question

mathematics
instruction: the given are pairs of similar fractions. make a model of them using the given rectangle.

1. $\frac{2}{2}$, $\frac{1}{2}$
2. $\frac{3}{4}$, $\frac{2}{4}$

Explanation:

Step1: Model $\frac{2}{2}$ and $\frac{1}{2}$

1. For the first rectangle: Divide it into 2 equal parts (since the denominator is 2).

• To represent $\frac{2}{2}$: Shade all 2 parts of the rectangle.
• To represent $\frac{1}{2}$: Shade 1 out of the 2 equal parts of the rectangle (you can use a separate rectangle or label the shaded regions for each fraction).

Step2: Model $\frac{3}{4}$ and $\frac{2}{4}$

1. For the second rectangle: Divide it into 4 equal parts (since the denominator is 4).

• To represent $\frac{3}{4}$: Shade 3 out of the 4 equal parts.
• To represent $\frac{2}{4}$: Shade 2 out of the 4 equal parts (again, use a separate section or label to distinguish the two fractions).

Answer:

1. For $\boldsymbol{\frac{2}{2}}$ and $\boldsymbol{\frac{1}{2}}$:

• Rectangle split into 2 equal sections. $\frac{2}{2}$ = fully shaded rectangle; $\frac{1}{2}$ = 1 shaded section out of 2.

1. For $\boldsymbol{\frac{3}{4}}$ and $\boldsymbol{\frac{2}{4}}$:

• Rectangle split into 4 equal sections. $\frac{3}{4}$ = 3 shaded sections out of 4; $\frac{2}{4}$ = 2 shaded sections out of 4.