Is 1/2 Greater Than 1/3? [Solved]

The fraction 1/2 is greater than 1/3, because 1/2 = 0.5 > 0.333 = 1/3. So 1/3 is less than 1/2. In this post, we will compare 1/2 and 1/3.

We will now compare the fractions 1/2 and 1/3.

Which Fraction is Greater 1/2 or 1/3

We can compare the fractions 1/2 and 1/3 by converting them to decimals. Note that

$\dfrac{1}{2}=0.5$ $\dfrac{1}{3}=0.333$

Now let us compare the decimals 0.5 and 0.333. As 0.333 < 0.5, we conclude that the fraction 1/2 is greater than 1/3.

For more details of fractions, see the main page on “Fraction“.

Is 1/3 Greater Than 3/4?

Is 1/2 Bigger Than 1/3

Answer: Yes, 1/2 is bigger than 1/3.

Explanation:

Let us follow the below steps in order to conclude which fraction is bigger between 1/2 and 1/3.

Step 1: Finding Common Denominator.

The denominators of 1/2 and 1/3 are respectively 2 and 3. To compare 1/2 and 1/3, we will convert these fractions to equivalent fractions with common denominator = least common multiple (LCM) of 2 and 3.

We now find the LCM of 2 and 3.

The multiples of 2 are 2, 4, 6, 8, 10, etc The multiples of 3 are 3, 6, 9, 12, 15, etc.

So 6 is least number which is the multiple of both 2 and 3. In other words,

LCM (2, 3) = 6.

Step 2: Convert to Equivalent Fractions with Common Denominator

In this step, we convert 1/2 and 1/3 to equivalent fractions with common denominator 6 = LCM (2, 3).

For 1/2, multiply the numerator and the denominator by 3 to make the denominator 6.

$\dfrac{1}{2} = \dfrac{1 \times 3}{2 \times 3} = \dfrac{3}{6}$.

For 1/3, multiply the numerator and the denominator by 2 to make the denominator 6.

$\dfrac{1}{3} = \dfrac{1 \times 2}{3 \times 2} = \dfrac{2}{6}$.

Step 3: Now compare the numerators.

As 2 < 3, we have that

$\dfrac{2}{6} < \dfrac{3}{6}$.

This implies that

$\dfrac{1}{3} < \dfrac{1}{2}$.

Therefore, the fraction 1/2 is greater than 1/3.

Related Topics: Is 1/2 Greater Than 2/3?

Is 2/3 Bigger Than 3/4?

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