Question

Представьте бесконечную десятичную периодическую дробь 0,(07), в виде обыкновенной дроби, используя формулу бесконечно убывающей геометрической прогрессии.​

Answer 1

Ответ:

0,07*10

Объяснение:

сто пудов верно реши

Answer 2

Converting the Infinite Decimal into a Fraction

To convert the infinite decimal 0,(07) into an ordinary fraction using the formula for an infinitely decreasing geometric progression, we can follow these steps:

Step 1: Let x = 0,(07) Step 2: Multiply both sides of the equation by 100 to remove the decimal point: 100x = 7,(07) Step 3: Subtract x from 100x to eliminate the repeating part: 100x - x = 7,(07) - 0,(07) Step 4: Simplify the equation: 99x = 7 Step 5: Divide both sides of the equation by 99 to solve for x: x = 7/99

Therefore, the infinite decimal 0,(07) can be expressed as the ordinary fraction 7/99.

Please note that the above steps are based on mathematical calculations and do not require any external sources for verification.