This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're referring to "Activity 2" at the bottom of the page. Let's find the fraction of shaded objects for each part. a) Step 1: Count the total number of shapes. There are 4 rows with 5 pentagons in each row. Total shapes = 4 × 5 = 20. Step 2: Count the number of shaded shapes. In each row, 3 pentagons are shaded. Number of shaded shapes = 4 × 3 = 12. Step 3: Write the fraction of shaded shapes and simplify. Fraction shaded = Number of shaded shapesTotal number of shapes = (12)/(20). To simplify, divide both the numerator and the denominator by their greatest common divisor, which is 4. (12 ÷ 4)/(20 ÷ 4) = (3)/(5) The fraction of shaded shapes is (3)/(5). b) Step 1: Count the total number of shapes. There are 4 rows with 6 circles in each row. Total shapes = 4 × 6 = 24. Step 2: Count the number of shaded shapes. In each row, 2 circles are shaded. Number of shaded shapes = 4 × 2 = 8. Step 3: Write the fraction of shaded shapes and simplify. Fraction shaded = Number of shaded shapesTotal number of shapes = (8)/(24). To simplify, divide both the numerator and the denominator by their greatest common divisor, which is 8. (8 ÷ 8)/(24 ÷ 8) = (1)/(3) The fraction of shaded shapes is (1)/(3). 3 done, 2 left today. You're making progress.