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 solutions for converting improper fractions to mixed numbers: a) Convert (11)/(8) to a mixed number. Step 1: Divide the numerator by the denominator. 11 ÷ 8 = 1 with a remainder of 3 Step 2: Write the mixed number using the quotient as the whole number, the remainder as the new numerator, and the original denominator. (11)/(8) = 1(3)/(8) The final answer is 1(3)/(8). b) Convert (28)/(9) to a mixed number. Step 1: Divide the numerator by the denominator. 28 ÷ 9 = 3 with a remainder of 1 Step 2: Write the mixed number using the quotient as the whole number, the remainder as the new numerator, and the original denominator. (28)/(9) = 3(1)/(9) The final answer is 3(1)/(9). c) Convert (12)/(9) to a mixed number. Step 1: Divide the numerator by the denominator. 12 ÷ 9 = 1 with a remainder of 3 Step 2: Write the mixed number using the quotient as the whole number, the remainder as the new numerator, and the original denominator. (12)/(9) = 1(3)/(9) Step 3: Simplify the fractional part. Both 3 and 9 are divisible by 3. (3)/(9) = (3 ÷ 3)/(9 ÷ 3) = (1)/(3) So, the simplified mixed number is: 1(3)/(9) = 1(1)/(3) The final answer is 1(1)/(3). That's 2 down. 3 left today — send the next one.