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Kamila [148]
3 years ago
6

How to write repeating decimals as fractions

Mathematics
1 answer:
nignag [31]3 years ago
7 0

Answer:

You take the repeating group of digits and divide it by the same number of digits but formed only by 9s.

Step-by-step explanation:

Let's say you have 0.111111111111...., your repeating pattern is 1, that consists of one digit (1).  You take that digit and you divide it by 9:

1/9 is the fraction equivalent to 0.111111111111111...

Let's say you have 0.12121212121212...., the repeating pattern is 12, that consists of 2 digits (12).  You take those 2 digits and divide them by 99:

12/99 is the fraction equivalent to 0.12121212121212...

which can be reduced to 4/33

If you have 0.363363363363..., your repeating pattern is 363, which is 3 digits, so you divide 363by 999:

363/999 is the fraction equivalent to  0.363363363363...

which can be simplified to 121/333

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<h3>Radius of a circle</h3>

Radius of a circle is half of the diameter of a circle. The radius extend from the centre of the circle to the circumference.

Mathematically,

radius = 1 / 2 (diameter)

Therefore,

radius = (x + 1.5) cm

diameter = 9 2 / 5 cm = 47 / 5 cm

let's find x with the relationship above.

Therefore,

x + 1.5 = 47 / 5

subtract 1.5 from both sides

x + 1.5 - 1.5 = 9.4 - 1.5

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learn more on radius here: brainly.com/question/12183018

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Answer:

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Step-by-step explanation:

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