Question

Сократите дробь 22,586666667

Answer 1

22 44/75 - эта дробь не сократима, т. к. 
простые делители 44 - это 2,4 и 11
делители 75 - это 3 и 5. Общих нет. 22 44/75=22, 58(6)- 22 целых 58 сотых и 6 в периоде

Answer 2

To simplify the fraction 22.586666667, we need to convert it to a fraction with a whole number in the numerator and the smallest possible denominator. Since it has a repeating decimal part (the digits after the decimal point repeat indefinitely), we can represent it as a fraction with a repeating decimal.

Let x = 22.586666667 (the entire decimal)

Step 1: Identify the repeating decimal part. Since 22.586666667 has 8 decimal places that repeat, we can represent it as x = 22.58 + 0.006666667...

Step 2: Convert the repeating decimal to a fraction. Let y = 0.006666667 (the repeating decimal part)

To convert y to a fraction, we can multiply both sides by 10000000 (10^7) to remove the decimal point:

10^7 * y = 10^7 * 0.006666667 10000000y = 66666.667

Now, let's convert it to a fraction by putting 66666.667 over 10^7:

y = 66666.667 / 10^7 y = 66666.667 / 10000000

Step 3: Simplify the fraction (if possible). To simplify this fraction further, we can find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by it.

The GCD of 66666.667 and 10000000 is 1, so the fraction is already in its simplest form.

Now, we can combine the whole number part and the repeating decimal part:

x = 22.58 + y x = 22.58 + 66666.667 / 10000000

Step 4: Add the whole number and fraction:

x = 22.58 + 0.006666667 x = 22.586666667

So, the simplified fraction is 22.586666667.