Question

8⋅15⋅24/25⋅56⋅12  8⋅81⋅31/31⋅45⋅32​

Answer 1

Ответ:

8×15×24 = 2880

25×56×12=16800

8×81×31=20088

31×4×5×32=19840

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Пошаговое объяснение:

Answer 2

To simplify the given expression, you can 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 simplify the expression step by step:

1. Start with the first fraction:

   (8 * 15 * 24) / (25 * 56 * 12)

2. Multiply the numbers in the numerator and denominator:

   Numerator: 8 * 15 * 24 = 2880 Denominator: 25 * 56 * 12 = 16800

3. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 480:

   (2880 / 480) / (16800 / 480)

4. Divide:

   Numerator: 2880 / 480 = 6 Denominator: 16800 / 480 = 35

So, the first fraction simplifies to 6/35.

Now, let's simplify the second fraction:

1. Start with the second fraction:

   (8 * 81 * 31) / (31 * 45 * 32)

2. Multiply the numbers in the numerator and denominator:

   Numerator: 8 * 81 * 31 = 19968 Denominator: 31 * 45 * 32 = 44640

3. Simplify the fraction by dividing both the numerator and denominator by their GCD, which is 32:

   (19968 / 32) / (44640 / 32)

4. Divide:

   Numerator: 19968 / 32 = 624 Denominator: 44640 / 32 = 1395

So, the second fraction simplifies to 624/1395.

Therefore, the expression simplifies to:

(6/35) * (624/1395)

To multiply these fractions, simply multiply the numerators together and the denominators together:

(6 * 624) / (35 * 1395)

Now, calculate the products:

Numerator: 6 * 624 = 3744 Denominator: 35 * 1395 = 48825

So, the final simplified expression is:

3744/48825