Which is bigger: 0.3 or 1/3

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.)

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Abdulazeez10 Abdulazeez10 · Answer 2 · 2021-10-05T11:20:57+02:00

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 [tex]\frac{3}{10} \ and \ \frac{1}{3}[/tex]

By LCM method,

[tex]\frac{3}{10} \ and \ \frac{1}{3}[/tex] = [tex]\frac{9}{30} \ and \ \frac{10}{30}[/tex] respectively

Since, the corresponding numerator(10) of [tex]\frac{1}{3}[/tex] is greater than the corresponding numerator(9) of [tex]\frac{3}{10}[/tex],

∴ [tex]\frac{1}{3}[/tex] is bigger that [tex]\frac{3}{10}[/tex]

Hence, 1/3 is bigger than 0.3

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