Have you ever encountered a decimal number like 4.135 repeating? It looks like a fraction, but you don’t know exactly how to turn it into one. In this article, we’ll explain how to convert 4.135 repeating into a fraction, and some of the other mathematical concepts related to it.
What Is 4.135 Repeating?
4.135 repeating is a number that can be written as a decimal, but it is actually a rational number. A rational number is any number that can be expressed as a fraction or ratio. 4.135 repeating is simply a way of expressing the same rational number in decimal form. It can also be written as 4.1353, which is an infinite repeating decimal.
How to Convert 4.135 Repeating to a Fraction?
The easiest way to convert 4.135 repeating into a fraction is to multiply the decimal by 10, 100, 1000, and so on until the repeating portion of the decimal is “canceled out.” For 4.135 repeating, this would look like the following:
4.135 x 10 = 41.35
4.135 x 100 = 413.5
4.135 x 1000 = 4135
This process eliminates the repeating portion of the decimal, leaving only the non-repeating portion. In this case, 4135 is the non-repeating portion of the decimal, so we can now write the decimal as a fraction:
4.135 repeating = 4135 / 1000
Other Applications of 4.135 Repeating
Now that we know how to convert 4.135 repeating into a fraction, we can use it in other mathematical operations. For example, we can use 4.135 repeating to calculate the area of a square with sides of 4.135 repeating. The area of the square would be 17.3609 repeating.
We can also use it to calculate the volume of a cube with sides of 4.135 repeating. The volume of the cube would be 70.6873 repeating.
In this article, we discussed how to convert 4.135 repeating into a fraction and some of the other applications of the number. We hope this article has helped you gain a better understanding of this concept and the ways it can be used in mathematics.
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