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
1. Choose equivalent fractions: a) For (1)/(2), choose from (2)/(4), (4)/(4), (2)/(3). Step 1: Check each option. To find an equivalent fraction for (1)/(2), we can multiply the numerator and denominator by the same non-zero number. For (2)/(4): (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) This is an equivalent fraction. Step 2: Compare with other options. (4)/(4) = 1, which is not equivalent to (1)/(2). (2)/(3) is not equivalent to (1)/(2). The equivalent fraction is (2)/(4). b) For (2)/(3), choose from (3)/(6), (1)/(4), (3)/(6). Step 1: Check each option. To find an equivalent fraction for (2)/(3) with a denominator of 6, we would multiply the numerator and denominator by 2: (2)/(3) = (2 × 2)/(3 × 2) = (4)/(6) Now, let's check the given options: (3)/(6) simplifies to (1)/(2), which is not equal to (2)/(3). (1)/(4) is not equal to (2)/(3). The option (3)/(6) appears twice, and neither is equivalent to (2)/(3). Based on the given options, there is no equivalent fraction for (2)/(3) in the list. 2. Compare these pairs of fractions and insert >, <, or =: a) Compare (2)/(3) and (1)/(3). Step 1: Compare the numerators since the denominators are the same. 2 > 1 Therefore, (2)/(3) > (1)/(3) b) Compare (2)/(5) and (3)/(5). Step 1: Compare the numerators since the denominators are the same. 2 < 3 Therefore, (2)/(5) < (3)/(5) c) Compare (1)/(2) and (2)/(4). Step 1: Simplify the second fraction. (2)/(4) = (2 ÷ 2)/(4 ÷ 2) = (1)/(2) Therefore, (1)/(2) = (2)/(4) d) Compare (2)/(3) and (4)/(6). Step 1: Simplify the second fraction. (4)/(6) = (4 ÷ 2)/(6 ÷ 2) = (2)/(3) Therefore, (2)/(3) = (4)/(6) e) Compare (2)/(6) and (1)/(3). Step 1: Simplify the first fraction. (2)/(6) = (2 ÷ 2)/(6 ÷ 2) = (1)/(3) Therefore, (2)/(6) = (1)/(3) Send me the next one 📸