If you’re wondering what .66666 as a fraction is, you’re not alone. Many people have trouble understanding how this number can be represented as a fraction. However, it is actually quite simple.
.66666 as a fraction is 2/3. This means that if you have three equal parts, two of those parts would be .66666. This is a simple way to remember the fraction, and it can be useful when you’re trying to understand other fractions as
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Introduction
.66666 as a fraction is 6/9.66666. This can be reduced to 2/3.
What is .66666 as a Fraction?
.66666 is equal to 2/3 when converted to a fraction. In other words, .66666 is a repeating decimal. When converted to a fraction, the 6s cancel out and you’re left with 2/3.
Decimal to fraction conversion
Converting the decimal .66666 to a fraction is a three-step process. In the first step, determine the place value of each digit in the decimal. The second step is to identify the power of ten that corresponds to each place value. The number in each place value is then divided by the appropriate power of ten. In the third and final step, these quotients are simplified and reduced to lowest terms, if necessary, to obtain the final answer.
In .66666, the six in the ones place has a place value of 6/10 or 0.6. The six in the tenths place has a place value of 6/100 or 0.06. The six in the hundredths place has a place value of 6/1000 or 0.006. Finally, the six in the thousandths place has a place value of 6/10000 or 0.0006.
The power of ten that corresponds to each place value can be determined by starting with 1 and moving n places to the left for n digit values, or by starting with 10 and moving n places to the right for n digit values. For example, 100 is 10 squared, or 10 raised to the second power; similarly, 1000 is 10 cubed, or 10 raised to the third power. Using this method, we can see that 1 has a corresponding power of 10^0=1; 10 has a corresponding power of 10^1=10; 100 has a corresponding power of 10^2=100; and 1000 has a corresponding power of 10^3=1000. Therefore, 6/10 can be written as 6/10×10^0=6×1=6; 6/100 can be written as 6/100×10^1=6×10=60; 6/1000 can be written as 6/1000×10^2=6×100=600; and finally, 6/10000 can be written as 6/10000×10^3=6×1000=6000
Now we can divide each number by its corresponding power of ten using division:
-6 ÷ 1 = 6 (remainder: 0)
-60 ÷ 10 = 6 (remainder: 0)
-600 ÷ 100 = 6 (remainder: 0)
-6000 ÷ 1000 = 6 (remainder: 0)
After we have divided each number by its corresponding power of ten using division and calculatedthe remainders for each division problem , we take those remainders (which are our new “dividend” values),and repeat this process with each new “dividend” until we arrive at an answer in which there is no remainder(i.e., an answer that is a whole number). When this occurs ,we have our final answer: .666666 as a fractionis equal to 2/3 .
.66666 as a fraction in lowest terms
To convert .66666 to a fraction, we must find how many parts there are in one whole. In this case, we need to count how many places there are after the decimal point. There are six places after the decimal point, so we can say that there are six parts in one whole.
This means that .66666 as a fraction in lowest terms is 6/6 or 1.
Conclusion
.66666 is a repeating decimal, which means that it goes on forever without ever settling into a nice, even fraction. To convert it to a fraction, we need to give it a denominator (the number on the bottom of a fraction) that will make the math come out evenly. In this case, the smallest number we can multiply both the top and bottom of .66666 by to get an even number is 3:
3 x .66666 = 2
That means that .66666 is equal to 2/3, or two-thirds.