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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What is 0.3 repeating as a Fraction?
A fraction can be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing.
Answer: 0.3 repeating as a fraction is equal to 1/3.
Let's explore in detail.
Explanation:
0.3 Repeating means that the number 3 is recurring in this situation. 0.33333333.....
Let us see how to convert repeating decimals to a fraction.
Let us say x = 0.33333.... --- (1)
Now multiplying equation (1) by 10, we have
10x =3.33333..... (2)
subtracting (1) from (2) we have
10x - x = 3.33333.... -0.3333.....
⇒ 9x = 3
x = 3/9 = 1/3
Hence, 3 repeating as a fraction is equal to 1/3.
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