How to Use Area Models to Find Equivalent Fractions

A Step-by-step Guide to Using Area Models to Find Equivalent Fractions

Here’s a step-by-step guide to using area models to find equivalent fractions:

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Step 1: Identify the given fraction:

Determine the fraction for which you want to find an equivalent fraction. For example, let’s choose the fraction (frac{2}{3}).

Step 2: Draw a rectangle:

Begin by drawing a rectangle that will represent the whole, or 1.

Step 3: Divide the rectangle into equal parts:

Divide the rectangle into a number of equal parts representing the denominator of the given fraction. For example, if the given fraction is (frac{2}{3}), divide the rectangle into 3 equal parts.

Step 4: Shade the appropriate parts:

Shade the number of parts that correspond to the numerator of the fraction. In our example of (frac{2}{3}), shade 2 out of the 3 equal parts.

Step 5: Create another area model:

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Draw another rectangle of the same size, representing another whole.

Step 5: Choose a new denominator:

Decide on a new denominator for the equivalent fraction you want to find. For example, if you want to find an equivalent fraction with a denominator of 6, you will divide the new rectangle into 6 equal parts.

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Step 6: Divide the new rectangle into different equal parts:

Divide the new rectangle into the chosen number of equal parts, representing the denominator of the new fraction. In our example, divide the new rectangle into 6 equal parts.

Step 7: Shade equivalent parts:

Shade the same proportion of parts in the new rectangle as you did in the original rectangle. In our example, since we shaded 2 out of 3 parts in the original rectangle, we will shade 4 out of 6 parts in the new rectangle (because (frac{4}{6}) represents the same proportion as (frac{2}{3})).

Step 7: Identify the equivalent fraction:

The shaded parts of the new rectangle represent the equivalent fraction. In our example, we shaded 4 out of 6 equal parts, so the equivalent fraction is (frac{4}{6}).

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