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
Monday: Multiplication and Division 1. Divide Step 1: Divide 4,284 by 18. 4,284 ÷ 18 = 238 The answer is 238. 2. Multiply Step 1: Multiply 6,438 by 46. 6,438 × 46 = 296,148 The answer is 296,148. 3. Divide Step 1: Divide 117 by 38. 117 ÷ 38 = 3 with a remainder of 3 This can be written as a mixed number: 3 (3)/(38) The answer is 3 (3)/(38). 4. A school library has 154 bookshelves for new books. If each shelf can hold 72 books, how many books can the school library hold? Step 1: Multiply the number of bookshelves by the number of books per shelf. 154 × 72 = 11,088 The library can hold 11,088 books. 5. The toy store sold 4,550 toys over a period of a week. If the toy store sold equal amount of toys each day, how many toys were sold in one day? Step 1: A week has 7 days. Divide the total number of toys by 7. 4,550 ÷ 7 = 650 The toy store sold 650 toys in one day. Tuesday: Add and Subtract Fractions 1. Subtract Step 1: Simplify the fractions. 5 (8)/(12) - 2 (3)/(6) = 5 (2)/(3) - 2 (1)/(2) Step 2: Find a common denominator, which is 6. 5 (2 × 2)/(3 × 2) - 2 (1 × 3)/(2 × 3) = 5 (4)/(6) - 2 (3)/(6) Step 3: Subtract the whole numbers and the fractions. (5-2) + ((4)/(6) - (3)/(6)) = 3 + (1)/(6) The answer is 3 (1)/(6). 2. Add Step 1: Find a common denominator for (1)/(3) and (4)/(11), which is 33. 3 (1 × 11)/(3 × 11) + 5 (4 × 3)/(11 × 3) = 3 (11)/(33) + 5 (12)/(33) Step 2: Add the whole numbers and the fractions. (3+5) + ((11)/(33) + (12)/(33)) = 8 + (23)/(33) The answer is 8 (23)/(33). 3. Subtract Step 1: Simplify the first fraction. 7 (6)/(10) - 3 (1)/(5) = 7 (3)/(5) - 3 (1)/(5) Step 2: Subtract the whole numbers and the fractions. (7-3) + ((3)/(5) - (1)/(5)) = 4 + (2)/(5) The answer is 4 (2)/(5). 4. Carrie made (3)/(8) quarts of orange juice and (2)/(16) quarts of apple juice. How much juice did Carrie make? Step 1: Add the amounts of orange juice and apple juice. (3)/(8) + (2)/(16) Step 2: Find a common denominator, which is 16. (3 × 2)/(8 × 2) + (2)/(16) = (6)/(16) + (2)/(16) Step 3: Add the fractions. (6+2)/(16) = (8)/(16) Step 4: Simplify the fraction. (8)/(16) = (1)/(2) Carrie made (1)/(2) quart of juice. 5. John's grandmother made soup for dinner on Thursday. The family ate (4)/(8) of the soup. On Friday, John ate (2)/(16) of the soup for a snack. How much soup was left? Step 1: Calculate the total amount of soup eaten. (4)/(8) + (2)/(16) Step 2: Simplify the fractions and find a common denominator (8). (1)/(2) + (1)/(8) = (4)/(8) + (1)/(8) = (5)/(8)