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 to your homework questions: 1. Step 1: Divide the total number of oranges by the number of pupils. Oranges per pupil = 560 oranges70 pupils Step 2: Calculate the result. Oranges per pupil = 8 Each pupil will have 8 oranges. 8 oranges 2. Step 1: Divide 30500 by 14 to find how many times 14 is contained in 30500. (30500)/(14) Step 2: Perform the division and simplify the fraction. (30500)/(14) = (15250)/(7) Step 3: Convert the improper fraction to a mixed number. (15250)/(7) = 2178 (4)/(7) 14 is contained 2178 and (4)/(7) times in 30500. 2178 (4)/(7) 3. Changing them to improper fractions: a) 1 (1)/(4) Step 1: Multiply the whole number by the denominator and add the numerator. Keep the same denominator. 1 (1)/(4) = ((1 × 4) + 1)/(4) Step 2: Simplify the numerator. (4 + 1)/(4) = (5)/(4) (5)/(4) b) 2 (3)/(6) Step 1: Multiply the whole number by the denominator and add the numerator. Keep the same denominator. 2 (3)/(6) = ((2 × 6) + 3)/(6) Step 2: Simplify the numerator. (12 + 3)/(6) = (15)/(6) Step 3: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 3. (15 ÷ 3)/(6 ÷ 3) = (5)/(2) (5)/(2) c) 3 (2)/(3) Step 1: Multiply the whole number by the denominator and add the numerator. Keep the same denominator. 3 (2)/(3) = ((3 × 3) + 2)/(3) Step 2: Simplify the numerator. (9 + 2)/(3) = (11)/(3) (11)/(3) d) 6 (3)/(7) Step 1: Multiply the whole number by the denominator and add the numerator. Keep the same denominator. 6 (3)/(7) = ((6 × 7) + 3)/(7) Step 2: Simplify the numerator. (42 + 3)/(7) = (45)/(7) (45)/(7) e) 10 (2)/(7) Step 1: Multiply the whole number by the denominator and add the numerator. Keep the same denominator. 10 (2)/(7) = ((10 × 7) + 2)/(7) Step 2: Simplify the numerator. (70 + 2)/(7) = (72)/(7) (72)/(7) That's 2 down. 3 left today — send the next one.