If you’re wondering what 2.6 repeating as a fraction is, you’re not alone. This is a common question that comes up, and it’s actually pretty easy to answer. Keep reading to learn more!
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2.6 repeating as a fraction is 26/100, or 13/50.
What is 2.6 Repeating as a Fraction?
The number 2.6 repeating as a fraction is equal to 2.6/1. This fraction can be simplified to 13/5.
Decimals and fractions
2.6 repeating as a fraction is 26/10, or 13/5. To convert a decimal to a fraction, you need to understand what the decimal point means. A decimal point separates the whole numbers from the fractional part of a number. In other words, the decimal point divides a number into two parts: The whole number part and the fractional part.
Converting decimals to fractions
Converting a decimal to a fraction is a two-step process. In the first step, you determine the place value of the digit to the right of the decimal point. In the second step, you count the number of decimal places from right to left, starting with the digit in the first step. This will give you the denominator of your fraction. The numerator will be equal to the decimal multiplied by this denominator.
To convert 2.6 repeating to a fraction, we start by determining the place value of the digit to the right of the decimal point: 2.6repeating = 2 + 0.6repeating
This means that 0.6repeating = 6/10
Then, we count the number of decimal places from right to left: 0.6repeating has one decimal place.
This means that our fraction will have a denominator of 10 and a numerator of 6: 2.6repeating = 2 + (6/10) = 2 + (60/100) = 260/100
When a decimal number has a repeating pattern, it is said to be a repeating decimal. A repeating decimal can be represented as a fraction, where the denominator is some power of 10. For example, the number 0.3333333… can be represented as 1/3, because it has a repeating pattern of 3s. Similarly, the number 0.06666666… can be represented as 2/30, because it has a repeating pattern of 6s.
To represent a repeating decimal as a fraction, we need to find the denominator that will make the number repeat. In the case of 0.3333333…, we know that the number will repeat every time there are three digits to the right of the decimal point. Therefore, we can represent this number as 1/3. In the case of 0.06666666…, we know that the number will repeat every time there are six digits to the right of the decimal point. Therefore, we can represent this number as 2/30.
To find the denominator for a repeating decimal, we count the number of digits in the repeating pattern and multiply by 10 to the power of that number. In other words, if there are n digits in the repeating pattern, then we multiply by 10^n . For example, in 0.666666666… , there are 6 digits in the repeating pattern ( 66 ), so we would multiply by 10^6 , or 1 million . This gives us our final fraction: 0.666666666… = 666/1000000 .
To conclude, 2.6 repeating is a fraction that is equal to 8/3.