Question

(3,5 + 2 1/3) : ( 3,5 - 2 1/3 )

Answer 1

(7/2+7/3):(7/2-7/3)=35/6:7/6=5

Answer 2

To simplify the expression (3.5 + 2 1/3) : (3.5 - 2 1/3), you can follow these steps:

Step 1: Simplify the expressions inside the parentheses: 3.5 + 2 1/3 = 3.5 + 7/3 (convert the mixed number to an improper fraction) 3.5 - 2 1/3 = 3.5 - 7/3 (convert the mixed number to an improper fraction)

Step 2: Perform the additions and subtractions inside the parentheses: 3.5 + 7/3 = (3.5 * 3/3) + 7/3 = 10.5/3 + 7/3 = (10.5 + 7)/3 = 17.5/3

3.5 - 7/3 = (3.5 * 3/3) - 7/3 = 10.5/3 - 7/3 = (10.5 - 7)/3 = 3.5/3

Step 3: Divide the two results: (17.5/3) : (3.5/3)

Step 4: To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction: (17.5/3) * (3/3.5)

Step 5: Multiply the numerators and denominators: (17.5 * 3) / (3 * 3.5)

Step 6: Calculate the values in the numerator and denominator: Numerator = 52.5 Denominator = 10.5

Step 7: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 10.5: (52.5 / 10.5) = (5 * 10.5) / (10.5) = 5

So, the simplified value of (3.5 + 2 1/3) : (3.5 - 2 1/3) is 5.