Question

1) 9 1/5-(5x- 4 1/2): 11 1/4= 8 14/15

Answer 1

Ответ:

9 1/5 - (5х - 4 1/2) : 11 1/4 = 8 14/15

(5х - 4 1/2) : 11 1/4 = 9 1/5 - 8 14/15 = 9 3/15 - 8 14/15 = 4/15

5х - 4 1/2 = 4/15 * 11 1/4 = 4/15 * 45/4 = 45/15 = 3

5х = 3 + 4 1/2 = 7 1/2

х = 7 1/2 : 5 = 15/2 * 1/5 = 3/2 = 1 1/2 = 1,5

х = 1,5

Вот ответ!!!

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Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's break it down step by step:

1. First, simplify the expressions inside the parentheses:

   5x - 4 1/2 = 5x - 9/2

2. Next, perform the subtraction:

   9 1/5 - (5x - 9/2)

3. Now, divide the result from step 2 by 11 1/4:

   (9 1/5 - (5x - 9/2)) / 11 1/4

4. Finally, subtract the result from step 3 from 8 14/15:

   8 14/15 - ((9 1/5 - (5x - 9/2)) / 11 1/4)

Now, let's simplify this expression step by step.

Step 1: Convert mixed numbers to improper fractions.

9 1/5 = (5 * 9 + 1) / 5 = (45 + 1) / 5 = 46/5

4 1/2 = (2 * 4 + 1) / 2 = (8 + 1) / 2 = 9/2

So, the expression becomes:

(46/5 - (5x - 9/2)) / 11 1/4

Step 2: Now, let's find a common denominator for the fractions in the expression, which is 20.

(46/5 - (10x - 18/4)) / (45/4)

Step 3: Simplify the expression further:

(46/5 - (10x - 9/2)) / (45/4)

Step 4: To subtract fractions, you need a common denominator. In this case, it's 20.

(46/5 - (10x - 9/2)) / (45/4) = (46/5 - (10x - 9/2) * (4/4)) / (45/4)

Step 5: Distribute the 4 to the terms inside the parentheses:

(46/5 - (40x - 36/8)) / (45/4)

Step 6: Simplify the fractions:

(46/5 - (40x - 9/2)) / (45/4)

Step 7: Now, subtract the fractions:

(46/5 - 40x + 9/2) / (45/4)

Step 8: Find a common denominator for the remaining fractions, which is 20:

((46/5 * 4/4) - (40x * 5/5) + (9/2 * 10/10)) / (45/4)

Step 9: Simplify further:

(184/20 - 200x + 90/20) / (45/4)

Step 10: Combine the fractions in the numerator:

(184 - 200x + 90) / (20 * 45/4)

Step 11: Combine like terms in the numerator:

(274 - 200x) / (900/4)

Step 12: Divide by the fraction in the denominator, which is the same as multiplying by its reciprocal:

(274 - 200x) * (4/900)

Step 13: Simplify:

(274 - 200x) * (2/450)

Step 14: Further simplify by canceling common factors:

(137 - 100x) / 225

So, the simplified expression is:

(137 - 100x) / 225

Now, you have the simplified expression, (137 - 100x) / 225.