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
Step 1: Convert the mixed numbers to improper fractions. 9(1)/(2) = ((9 × 2) + 1)/(2) = (18 + 1)/(2) = (19)/(2) 1(2)/(3) = ((1 × 3) + 2)/(3) = (3 + 2)/(3) = (5)/(3) Step 2: Find a common denominator for the fractions. The least common multiple of 2 and 3 is 6. (19)/(2) = (19 × 3)/(2 × 3) = (57)/(6) (5)/(3) = (5 × 2)/(3 × 2) = (10)/(6) Step 3: Subtract the fractions. (57)/(6) - (10)/(6) = (57 - 10)/(6) = (47)/(6) Step 4: Convert the improper fraction back to a mixed number. (47)/(6) = 7(5)/(6) The simplified answer is 7(5)/(6). --- a) The digit 5 in the number 34,756 is in the tens place. The value of the digit 5 is 5 × 10 = 50. b) To write 34,756 in expanded notation using place values, we break down the number by the value of each digit. 34,756 = 30,000 + 4,000 + 700 + 50 + 6 c) To fill in <, > or = for 0,756 \_ 0,765, we compare the digits from left to right. The first digit after the decimal point is 7 for both numbers. The second digit after the decimal point is 5 for 0,756 and 6 for 0,765. Since 5 < 6, we have 0,756 < 0,765. So, the answer is <. Send me the next one 📸