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
Here are the equivalent fractions and the shading instructions: Row 1: Problem 1: The first shape shows (3)/(5). The second shape is divided into 10 parts. To find the equivalent fraction, we multiply the numerator and denominator by 2: (3 × 2)/(5 × 2) = (6)/(10). Shade 6 out of 10 parts in the second circle. Equivalent fraction: (6)/(10) Problem 2: The first shape shows (2)/(4). The second shape is divided into 2 parts. To find the equivalent fraction, we divide the numerator and denominator by 2: (2 ÷ 2)/(4 ÷ 2) = (1)/(2). Shade 1 out of 2 parts in the second circle. Equivalent fraction: (1)/(2) Row 2: Problem 1: The first shape shows (4)/(6). The second shape is divided into 3 parts. To find the equivalent fraction, we divide the numerator and denominator by 2: (4 ÷ 2)/(6 ÷ 2) = (2)/(3). Shade 2 out of 3 parts in the second circle. Equivalent fraction: (2)/(3) Problem 2: The first shape shows (1)/(2). The second shape is divided into 8 parts. To find the equivalent fraction, we multiply the numerator and denominator by 4: (1 × 4)/(2 × 4) = (4)/(8). Shade 4 out of 8 parts in the second circle. Equivalent fraction: (4)/(8) Row 3: Problem 1: The first shape shows (3)/(4). The second shape is divided into 8 parts. To find the equivalent fraction, we multiply the numerator and denominator by 2: (3 × 2)/(4 × 2) = (6)/(8). Shade 6 out of 8 parts in the second circle. Equivalent fraction: (6)/(8) Problem 2: The first shape shows (6)/(14). The second shape is divided into 7 parts. To find the equivalent fraction, we divide the numerator and denominator by 2: (6 ÷ 2)/(14 ÷ 2) = (3)/(7). Shade 3 out of 7 parts in the second circle. Equivalent fraction: (3)/(7) Row 4: Problem 1: The first shape shows (1)/(2). The second shape is divided into 8 parts. To find the equivalent fraction, we multiply the numerator and denominator by 4: (1 × 4)/(2 × 4) = (4)/(8). Shade 4 out of 8 parts in the second circle. Equivalent fraction: (4)/(8) Problem 2: The first shape shows (4)/(12). The second shape is divided into 3 parts. To find the equivalent fraction, we divide the numerator and denominator by 4: (4 ÷ 4)/(12 ÷ 4) = (1)/(3). Shade 1 out of 3 parts in the second circle. Equivalent fraction: (1)/(3) Last free one today — make it count tomorrow, or type /upgrade for unlimited.