0.11 as a fraction is equal to 11/100. It can be simplified to 1/9 when reduced to lowest terms.
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Introduction
There are a lot of numbers that we use in our everyday lives that we don’t necessarily stop to think about what they mean. We use them so often that we just take them for granted. For example, when someone tells us that they’ll be there in “a half an hour”, we know that they’ll be there in 30 minutes. Or if we’re told that something weighs “a pound”, we know that it weighs 16 ounces. But sometimes, we come across a number that we don’t immediately understand, and we have to stop and think about it for a minute.
One of those numbers is 0.11. What is 0.11 as a fraction? This question can be a little bit tricky to answer, because when you first look at the number, it doesn’t appear to be a fraction at all! fractions have numerators and denominators, like 1/2 or 3/4, but 0.11 just looks like a decimal. However, if we take a closer look, we can see that 0.11 is actually a decimal equivalent of the fraction 1/9.
To understand why this is the case, let’s first review what decimals and fractions are, and how they are related to each other.
What is 0.11 as a Fraction?
0.11 as a fraction is 11/100. This can be reduced to 1/9 by dividing both the numerator and denominator by 11.
Steps to Convert 0.11 to a Fraction
11/100 or any decimal can be converted to a fraction by following a few simple steps:
1) Write down the decimal as a fraction. The number to the left of the decimal is the numerator and the number to the right of the decimal is the denominator. In this case, it would be 11/100.
2) Multiply both sides of the fraction by 10 for every number after the decimal point. In this problem, there is one number after the decimal, so 10 must be multiplied by both sides of equation. This gives us 110/1000 or 1 1/10.
3) Reduce if possible by dividing both sides of equation by common factors until no factors other than one remain. In this problem, both 110 and 1000 can be divided evenly by 10 giving us 11/100.
Conclusion
To sum it up, 0.11 as a fraction is 11/100. In other words, eleven one-hundredths.This is because decimals are really just another way of writing fractions.
