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. Write these fractions in words. a) (5)/(8) Step 1: Write the numerator as a cardinal number and the denominator as an ordinal number. The numerator is 5, and the denominator is 8 (eighths). Five-eighths b) (7)/(10) Step 1: Write the numerator as a cardinal number and the denominator as an ordinal number. The numerator is 7, and the denominator is 10 (tenths). Seven-tenths c) (9)/(12) Step 1: Write the numerator as a cardinal number and the denominator as an ordinal number. The numerator is 9, and the denominator is 12 (twelfths). Nine-twelfths 2. Complete the equivalent fractions. a) (2)/(3) = _6 Step 1: Determine the factor by which the denominator was multiplied. 3 × 2 = 6 Step 2: Multiply the numerator by the same factor. 2 × 2 = 4 So, (2)/(3) = (4)/(6). 4 b) (3)/(5) = _10 Step 1: Determine the factor by which the denominator was multiplied. 5 × 2 = 10 Step 2: Multiply the numerator by the same factor. 3 × 2 = 6 So, (3)/(5) = (6)/(10). 6 c) (4)/(7) = _14 Step 1: Determine the factor by which the denominator was multiplied. 7 × 2 = 14 Step 2: Multiply the numerator by the same factor. 4 × 2 = 8 So, (4)/(7) = (8)/(14). 8 3. Compare the fractions using <, >, or =. a) (5)/(8) \_\_\_ (7)/(8) Step 1: Compare the numerators since the denominators are the same. 5 < 7 Therefore, (5)/(8) < (7)/(8). < b) (3)/(4) \_\_\_ (6)/(8) Step 1: Find a common denominator. The least common denominator for 4 and 8 is 8. Step 2: Convert (3)/(4) to an equivalent fraction with a denominator of 8. (3)/(4) = (3 × 2)/(4 × 2) = (6)/(8) Step 3: Compare the equivalent fractions. (6)/(8) = (6)/(8) Therefore, (3)/(4) = (6)/(8). = c) (2)/(6) \_\_\_ (2)/(3) Step 1: Find a common denominator. The least common denominator for 6 and 3 is 6. Step 2: Convert (2)/(3) to an equivalent fraction with a denominator of 6. (2)/(3) = (2 × 2)/(3 × 2) = (4)/(6) Step 3: Compare the equivalent fractions. (2)/(6) < (4)/(6) Therefore, (2)/(6) < (2)/(3). < Send me the next one 📸