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.
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1. Compare/Vergelyk <, >, = 1.1) Step 1: Compare the numbers 548,72 and 548,27. Step 2: The whole number part is the same (548). Compare the decimal parts: 72 is greater than 27. 548,72 > 548,27 The symbol is >. 1.2) Step 1: Compare the fractions (2)/(8) and (27)/(32). Step 2: Simplify (2)/(8) to (1)/(4). Convert (1)/(4) to a fraction with a denominator of 32: (1 × 8)/(4 × 8) = (8)/(32). Step 3: Compare (8)/(32) and (27)/(32). Since 8 < 27, then (8)/(32) < (27)/(32). (2)/(8) < (27)/(32) The symbol is <. 1.3) Step 1: Compare the numbers 905,14 and 905,41. Step 2: The whole number part is the same (905). Compare the decimal parts: 14 is less than 41. 905,14 < 905,41 The symbol is <. 1.4) Step 1: Compare the fractions (3)/(4) and (6)/(8). Step 2: Simplify (6)/(8) by dividing the numerator and denominator by 2: (6 ÷ 2)/(8 ÷ 2) = (3)/(4). Step 3: Both fractions are equal to (3)/(4). (3)/(4) = (6)/(8) The symbol is =. 2. Calculate/Bereken 2.1) 84\,926 - 37\,458 Step 1: Subtract the numbers. 84\,926 - 37\,458 = 47\,468 2.2) 56\,784 + 29\,653 Step 1: Add the numbers. 56\,784 + 29\,653 = 86\,437 2.3) 8\,742 × 38 Step 1: Multiply the numbers. 8\,742 × 38 = 332\,196 2.4) 8\,736 ÷ 24 Step 1: Divide the numbers. 8\,736 ÷ 24 = 364 2.5) 5(3)/(8) + 2(1)/(8) Step 1: Add the whole numbers and the fractions separately. 5 + 2 = 7 (3)/(8) + (1)/(8) = (3+1)/(8) = (4)/(8) Step 2: Simplify the fraction (4)/(8) to (1)/(2). Step 3: Combine the whole number and the simplified fraction. 7 + (1)/(2) = 7(1)/(2) 2.6) 7(5)/(6) - 2(1)/(6) Step 1: Subtract the whole numbers and the fractions separately. 7 - 2 = 5 (5)/(6) - (1)/(6) = (5-1)/(6) = (4)/(6) Step 2: Simplify the fraction (4)/(6) to (2)/(3). Step 3: Combine the whole number and the simplified fraction. 5 + (2)/(3) = 5(2)/(3) 2.7) (1)/(4) + 5 - (1)/(2) Step 1: Find a common denominator for the fractions, which is 4. Convert (1)/(2) to (2)/(4). (1)/(4) + 5 - (2)/(4) Step 2: Combine the fractions. 5 + (1)/(4) - (2)/(4) = 5 - (1)/(4) Step 3: Subtract the fraction from the whole number. 5 - (1)/(4) = 4(3)/(4) 3.1) 310,45 + 245,02 Step 1: Add the decimal numbers. 310,45 + 245,02 = 555,47 3.2) 756,90 - 428,37 Step 1: Subtract the decimal numbers. 756,90 - 428,37 = 328,53 4. Find the rule/Vind die reël: 4, 10, 16... Step 1: Find the difference between consecutive terms. 10 - 4 = 6 16 - 10 = 6 Step 2: The difference is constant. The rule is: Add 6 to the previous number. 5. Fractions of a number 5.1) (1)/(4) of 3\,216 / (1)/(4) van 3\,216 Step 1: Multiply 3\,216 by (1)/(4), which is the same as dividing 3\,216 by 4. (1)/(4) × 3\,216 = (3\,216)/(4) Step 2: Perform the division. (3\,216)/(4) = 804 5.2) (3)/(5) of 2\,145 / (3)/(5) van 2\,145 Step 1: Multiply 2\,145 by (3)/(5). This can be done by dividing 2\,145 by 5 and then multiplying by 3. (3)/(5) × 2\,145 = (2\,145 ÷ 5) × 3 Step 2: Divide 2\,145 by 5. 2\,145 ÷ 5 = 429 Step 3: Multiply the result by 3. 429 × 3 = 1\,287 Last free one today — make it count tomorrow, or type /upgrade for unlimited.