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Question
true or false 1/3 = .3
Step1: Convert fraction to decimal
To convert $\frac{1}{3}$ to a decimal, we perform the division: $1\div3$.
When we divide 1 by 3, we get $0.\overline{3}$, which means the digit 3 repeats infinitely. So, $\frac{1}{3}=0.333\cdots$
Step2: Compare with 0.3
Now, we compare $0.333\cdots$ with $0.3$. Since $0.333\cdots$ is greater than $0.3$ (because the first decimal place after the tenths place in $0.333\cdots$ is 3, while in $0.3$ it is 0), $\frac{1}{3}$ is not equal to $0.3$.
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False