Question

Which is bigger: 0.3 or 1/3

Answer 1

First, turn the fraction into a decimal to get a better look at the problem. To do that, divide the numerator (top half) by the denominator (bottom half). 1 divided by 3 = 0.33
0.33 is larger than 0.3. If it helps, add a 0 to 0.3 to get 0.30 and you'll see that 33 is in fact a larger number than 30. (Adding the zero does NOT change the number, it holds no place value it's just there for looks.)

Answer 2

The bigger number is 1/3. That is, 1/3 is bigger than 0.3

To determine which is bigger between 0.3 and 1/3.

First, we will express 0.3 as a fraction

0.3 = 3/10 as a fraction

Now we are to determine which is bigger between $\frac{3}{10} \ and \ \frac{1}{3}$

By LCM method,

$\frac{3}{10} \ and \ \frac{1}{3}$ = $\frac{9}{30} \ and \ \frac{10}{30}$ respectively

Since, the corresponding numerator(10) of $\frac{1}{3}$ is greater than the corresponding numerator(9) of $\frac{3}{10}$,

∴ $\frac{1}{3}$ is bigger that $\frac{3}{10}$

Hence, 1/3 is bigger than 0.3

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