How to Use Grid Models to Convert Fractions to Percentages?

A step-by-step guide to using grid models to convert fractions to percentage

Using a grid model or \(10×10\) grids help you to learn the relationship between percentages, fractions, and decimals.
To change a fraction into a percentage, you have to follow these steps:

1. Start by drawing a grid with the number of squares that represents the denominator of the fraction. For example, if the fraction is \(\frac{3}{4}\), draw a grid with \(4\) squares.
2. Next, shade in the number of squares that represent the numerator of the fraction. In this case, shade in \(3\) squares.
3. Now that you have the grid model, you can use it to find the percentage of the whole that the fraction represents. To do this, divide the numerator of the fraction by the denominator and then multiply the result by \(100\). For example, \(\frac{3}{4}\times 100 = 75\)
4. Finally, add the percentage symbol \((\%)\) to the result. In this case, the final answer is \(75\%\).

Using grid models to convert fractions to percentages is a simple and effective way to understand the relationship between the numerator and denominator and how it relates to the whole. It’s also important to remember that this method can be used to convert any kind of fractions, proper or improper, and mixed numbers.

Using Grid Models to Convert Fractions to Percentages – Example 1

Shade \(\frac{6}{10}\) of the grid model. And write the percentage.
Solution:
Step 1: Multiply \(100\) by the fraction to represent \(\frac{6}{10}\) in the \(100\) squares of the grid model.
\(\frac{6}{10}×100=\frac{6}{10}×\frac{100}{1}=\frac{600}{10}=60\)
Step 2: Shade \(60\) of the \(100\) squares.
Step 3: Since there are \(60\) shaded squares out of a total of \(100\) squares, the percentage is \(60\%\).

Using Grid Models to Convert Fractions to Percentages – Example 2

Shade \(\frac{4}{5}\) of the grid model. And write the percentage.
Solution:
Step 1: Multiply \(100\) by the fraction to represent \(\frac{4}{5}\) in the \(100\) squares of the grid model.
\(\frac{4}{5}×100=\frac{4}{5}×\frac{100}{1}=\frac{400}{5}=80\)
Step 2: Shade \(80\) of the \(100\) squares.
Step 3: Since there are \(80\) shaded squares out of a total of \(100\) squares, the percentage is \(80\%\).