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6/7 as a decimal is 0.857142
In the fraction 6/7 , the number 6 is
In the fraction 6/7 , the number 7 is
Nick is working on converting the fraction $$\frac67$$ to a decimal. After getting three digits in the quotient, he is unsure if the answer is finite or a recurring decimal. Can you help him?
Recurring fractions are fractions that have one or more digits that occur repeatedly in a pattern. The type of decimal that we will arrive at in a long division can be of two types:
Hence to find the correct type of decimal for a fraction, Nick should continue to divide until he gets are repeated digits pattern or 0.
Let us carry out the division as below:
It can be observed that the remainder 6 is arrived at after 6 steps of division that is found in the first step. Hence all the digits following are recurring. So the answer to the fraction would be
$$\frac67=0.857142857142…=0.\overline{857142}$$
Here are some common terms you should be familiar with. In the fraction $$\frac67$$, the number 6 is the dividend (our numerator) The number 7 is our divisor (our denominator).
Here are some common terms you should be familiar with.
We invite you to read other articles on decimal and fraction, on our blog, to find out how converting decimal to fraction.
Also, you can read about what is 2/11 as a decimal fraction.
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