Question

(7 1/4-6 6/18)×7,2+2,4

Answer 1

(7 1/4 - 6 6/18) · 7,2 + 2,4 = 9

1) 7 1/4 - 6 6/18 = 7 1/4 - 6 1/3 = 7 3/12 - 6 4/12 = 6 15/12 - 6 4/12 = 11/12

2) 11/12 · 7,2 = (11·7,2)/12 = 79,2 : 12 = 6,6

3) 6,6 + 2,4 = 9

Answer 2

Let's start by performing the arithmetic operations step by step:

Step 1: Simplify the expression inside the parentheses. 7 1/4 - 6 6/18

Step 2: Convert all the mixed fractions into improper fractions for easier calculations. 7 1/4 = (47 + 1)/4 = 29/4 6 6/18 = (186 + 6)/18 = 114/18 = 57/9

Step 3: Subtract the two fractions. (29/4) - (57/9)

To subtract fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 9 is 36.

Step 4: Rewrite the fractions with the common denominator (36). (29/4)(9/9) - (57/9)(4/4) (299)/(49) - (574)/(94) 261/36 - 228/36

Step 5: Subtract the fractions. 261/36 - 228/36 = (261 - 228)/36 = 33/36 = 11/12

Now, the expression becomes: (11/12) × 7,2 + 2,4

Step 6: Perform the multiplication. (11/12) × 7.2 = (11/12) × 7.2 = 0.9166666666666666 (rounded to 14 decimal places)

Step 7: Add the result of the multiplication to 2.4 0.9166666666666666 + 2.4 = 3.3166666666666664 (rounded to 14 decimal places)

Final answer: The result of the expression (7 1/4 - 6 6/18) × 7.2 + 2.4 is approximately 3.3167.