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How do you model fractions?

Published in Fraction Representation 2 mins read

Fractions can be modeled visually to aid understanding. The process involves representing the fraction as a part of a whole.

Visual Fraction Modeling: A Step-by-Step Guide

This section breaks down the process of modeling fractions visually, based on the reference information provided.

  1. Choose a Shape: Select a shape to represent the whole. Common choices include:

    • Rectangles
    • Circles
    • Squares
  2. Divide the Shape: Split the chosen shape into equal parts. The number of equal parts should correspond to the denominator of the fraction you want to model. This is explicitly stated in the reference: "Split the shape into the number of equal parts shown by the denominator." For example, if the fraction is 1/4, divide the shape into 4 equal parts.

  3. Shade the Parts: Shade the number of parts that correspond to the numerator of the fraction. As the reference indicates, "Shade the number of parts shown by the numerator." In the example of 1/4, shade one of the four parts. The shaded area represents the fraction.

Example of Modeling Fractions

Let's model the fraction 3/8.

  1. Shape: We'll use a rectangle.
  2. Divide: Divide the rectangle into 8 equal parts.
  3. Shade: Shade 3 of the 8 parts.

The resulting image visually represents the fraction 3/8, where 3 out of 8 equal parts are highlighted.