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
Morning hope — let's get this done. Part 1: Write the fraction that is shaded and the fraction that is unshaded. 1. a) Fraction shaded: (2)/(8) b) Fraction unshaded: (6)/(8) 2. a) Fraction shaded: (4)/(8) b) Fraction unshaded: (4)/(8) 3. a) Fraction shaded: (3)/(8) b) Fraction unshaded: (5)/(8) 4. a) Fraction shaded: (2)/(8) b) Fraction unshaded: (6)/(8) Part 2: Write <, >, or = to compare the fractions below. a) Compare (1)/(2) and (1)/(4). To compare, convert (1)/(2) to an equivalent fraction with a denominator of 4: (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) Now compare (2)/(4) and (1)/(4). (2)/(4) > (1)/(4) So, (1)/(2) > (1)/(4) b) Compare (2)/(8) and (1)/(4). Simplify (2)/(8): (2)/(8) = (2 ÷ 2)/(8 ÷ 2) = (1)/(4) Now compare (1)/(4) and (1)/(4). (1)/(4) = (1)/(4) So, (2)/(8) = (1)/(4) c) Compare (3)/(8) and (1)/(2). To compare, convert (1)/(2) to an equivalent fraction with a denominator of 8: (1)/(2) = (1 × 4)/(2 × 4) = (4)/(8) Now compare (3)/(8) and (4)/(8). (3)/(8) < (4)/(8) So, (3)/(8) < (1)/(2) d) Compare (6)/(8) and (3)/(4). Simplify (6)/(8): (6)/(8) = (6 ÷ 2)/(8 ÷ 2) = (3)/(4) Now compare (3)/(4) and (3)/(4). (3)/(4) = (3)/(4) So, (6)/(8) = (3)/(4) e) Compare 1 and (4)/(4). The fraction (4)/(4) represents a whole. (4)/(4) = 1 Now compare 1 and 1. 1 = 1 So, 1 = (4)/(4) f) Compare (4)/(8) and (1)/(4). Simplify (4)/(8): (4)/(8) = (4 ÷ 4)/(8 ÷ 4) = (1)/(2) To compare (1)/(2) and (1)/(4), convert (1)/(2) to an equivalent fraction with a denominator of 4: (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) Now compare (2)/(4) and (1)/(4). (2)/(4) > (1)/(4) So, (4)/(8) > (1)/(4) Send me the next one 📸