Mark wants to use a grid to model the percent equivalent of the fraction 2/3. how many grid squares should he shade? what percent would his model show?
shade 2 out of every three squares
2/3 = 0.6666... = 66 2/3 %
the ratios of saves for a baseball pitcher to the number of save opportunities are given for three relief pictures 9/10 4/5 and 17/20 write each ratio as a percent order the percents from least to greatest
To model the fraction 2/3 using a grid, Mark would shade a certain number of squares. To determine how many squares he should shade, follow the steps below:
Step 1: Determine the size of the grid.
Let's assume Mark has a grid with a total of 100 squares, which is a common grid size for this model.
Step 2: Find the fraction equivalent.
The fraction 2/3 means Mark needs to shade in 2 out of the 3 equal parts on the grid.
Step 3: Divide the grid into equal parts.
Divide the grid into three equal parts, representing the denominator of the fraction.
Step 4: Shade the appropriate number of squares.
Out of the three equal parts, Mark needs to shade in 2 parts. So he would shade 2 out of the 3 parts, or two-thirds of the grid.
Step 5: Calculate the percent representation.
To find the percent representation, divide the number of shaded squares by the total number of squares (in this case, 100), and multiply by 100.
Therefore, Mark would shade approximately 66 squares on the grid, and his model would show 66%.
To model the percent equivalent of a fraction using a grid, you need to shade a certain number of squares out of the total grid. To find out how many grid squares you should shade for the fraction 2/3, follow these steps:
Step 1: Draw a grid with an equal number of rows and columns.
Step 2: Divide the grid into equal parts according to the denominator of the fraction, which in this case is 3. In other words, divide the grid into 3 equal sections vertically.
Step 3: Shade the number of grid squares corresponding to the numerator of the fraction, which in this case is 2. Start shading from the bottom-left corner of the grid and shade 2 squares going upward.
Step 4: Count the total number of grid squares in the shaded section. It represents the count of successful outcomes.
Step 5: Count the total number of grid squares in the entire grid. It represents the sample space.
Step 6: Calculate the fraction of shaded squares by dividing the count of successful outcomes by the sample space. In this case, it would be 2 divided by 3, which is equal to 0.6667 or approximately 0.67.
Step 7: Multiply the fraction by 100 to convert it to a percentage. So, 0.67 x 100 = 67%.
Based on this model, Mark should shade 2 grid squares, and his model would show a percent equivalent of 67%.