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Chapter 1: Problem 4

Draw a rectangle divided into 6 equal parts. Shade in \(\frac{2}{6}\) of the rectangle. Write another fraction to represent how much of the rectangle is shaded.

Short Answer

Expert verified
Draw a rectangle, divide it into 6 equal parts, and shade two of those parts. The shaded area can be represented by the fraction \(\frac{2}{6}\), which simplifies to \(\frac{1}{3}\).

Step by step solution

01

Draw a rectangle

Begin by drawing a rectangle on a piece of paper or using a drawing software.
02

Divide the rectangle into 6 equal parts

To divide the rectangle into 6 equal parts, you can either make 5 horizontal or vertical lines depending on the orientation (landscape or portrait) of your rectangle. It may help to use a ruler or a straight edge to ensure that your lines are straight and evenly spaced.
03

Shade in \(\frac{2}{6}\) of the rectangle

Now that you have divided the rectangle into 6 equal parts, shade in two of those parts using a pencil or a drawing tool. You can choose any two parts to shade in (e.g., the first and second parts, or the third and fourth parts, etc.), but make sure you only shade two of them.
04

Write another fraction to represent the shaded area

Since you have shaded two out of six parts of the rectangle, the fraction representing the shaded portion is \(\frac{2}{6}\). However, this fraction can be simplified by dividing both the numerator (2) and the denominator (6) by their greatest common divisor (2). After simplification, you get the fraction \(\frac{1}{3}\). Therefore, another fraction to represent the shaded portion of the rectangle is \(\frac{1}{3}\).

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