Question

14 7/ 15-3 3/23*23/27-1 1/5*1/6​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the expression:

14 7/15 - 3 3/23 * 23/27 - 1 1/5 * 1/6

Let's break it down step by step:

Step 1: Calculate the mixed numbers. 14 7/15 = (14 * 15 + 7)/15 = (210 + 7)/15 = 217/15 3 3/23 = (3 * 23 + 3)/23 = (69 + 3)/23 = 72/23 1 1/5 = (1 * 5 + 1)/5 = (5 + 1)/5 = 6/5

So, the expression becomes:

(217/15) - (72/23) * (23/27) - (6/5) * (1/6)

Step 2: Simplify each part of the expression.

(217/15) - (72/23) * (23/27) - (6/5) * (1/6)

Step 3: Perform the multiplications and divisions.

(217/15) - (72/23) * (23/27) - (6/5) * (1/6)

= (217/15) - (72/27) - (1/5) * (1/6)

Now, let's simplify each part separately:

(72/27) = (8/3) because both 72 and 27 are divisible by 9. (1/5) * (1/6) = (1/30) because we multiply the numerators (1 * 1) and the denominators (5 * 6).

So the expression becomes:

(217/15) - (8/3) - (1/30)

Step 4: Find a common denominator to subtract the fractions.

To find a common denominator for 15, 3, and 30, you can use 30:

(217/15) - (8/3) - (1/30)

To convert 15 and 3 to 30, you multiply both the numerator and denominator by the necessary factor:

(217/15) * (2/2) - (8/3) * (10/10) - (1/30)

Now, the expression becomes:

(434/30) - (80/30) - (1/30)

Step 5: Subtract the fractions:

(434/30) - (80/30) - (1/30) = (434 - 80 - 1) / 30 = 353/30

So, the final result is 353/30.