If you’re like most people, you probably have a pretty good understanding of what fractions are. But when it comes to understanding repeating decimals, things can get a little bit more confusing. So what exactly is 1.6 repeating as a fraction?
Checkout this video:
What is 1.6 Repeating as a Fraction?
1.6 repeating as a fraction is equal to 8/5. To get this answer, simply take the decimal 1.6 and turn it into a fraction by moving the decimal point two places to the left. This will give you 16/10. Then, reduce the fraction by dividing both the numerator and denominator by 2 to get 8/5.
Why is 1.6 Repeating Important?
1.6 repeating is an important number because it is equal to 1.6 recurring. This means that the number 1.6 repeats infinitely. In other words, 1.6 is equal to 1.600000000000000000… and so on. Because of this, 1.6 repeating can be written as a fraction, which is why it is so important.
1.6 repeating can be written as a fraction by dividing it by 9. This gives us the following fraction:
1.6 ÷ 9 = 0.1777777777777777777…
As you can see, this fraction repeats the digit 7 infinitely, which means that 1.6 repeating is equal to 0.177777777…
How to Convert 1.6 Repeating into a Fraction
To converter 1.6 repeating into a fraction, multiply the decimal by 10, 100, 1,000, and so on until the number stops repeating. In this instance, 1.6 repeating would be equal to 16/100.
What are the Benefits of Converting 1.6 Repeating into a Fraction?
When you convert 1.6 repeating into a fraction, you are able to more easily divide it into smaller pieces. This can be useful for many different purposes, including:
-Making measurements more precise
-Dividing large numbers into smaller, more manageable pieces
-Estimating numbers more accurately
-Performing calculations with greater accuracy