Is 2/3 Bigger Than 3/4? [Solved]

The fraction 2/3 is not bigger than 3/4, because 2/3 = 0.666 and 3/4 = 0.75. So 2/3 is less than 3/4. In this post, we will compare 2/3 and 3/4.

Let us now compare the fractions 2/3 and 3/4.

2/3 or 3/4 Which Fraction is Greater?

We can compare the fractions 2/3 and 3/4 by converting them to decimals. Note that

$\dfrac{2}{3}=0.666$ $\dfrac{3}{4}=0.75$

Now compare the decimals 0.666 and 0.75. As 0.666 < 0.75, we conclude that the fraction 3/4 is greater than 2/3.

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

Is 1/3 Greater Than 3/4?

Is 3/4 Greater Than 2/3

Answer: Yes, 3/4 is greater than 2/3.

Explanation:

We will follow the below steps in order to compare 2/3 and 3/4.

Step 1: Finding Common Denominator.

The denominators of 2/3 and 3/4 are respectively 3 and 4. To compare 2/3 and 3/4, let us convert these fractions to equivalent fractions with common denominator = least common multiple (LCM) of 3 and 4.

We now find the LCM of 3 and 4.

The multiples of 3 are 3, 6, 9, 12, 15, etc. The multiples of 4 are 4, 8, 12, 16, 20, etc.

So 12 is least number which is the multiple of both 3 and 4. In other words,

LCM (3, 4) = 12.

Step 2: Convert to Equivalent Fractions with Common Denominator

In this step, we convert 2/3 and 3/4 to equivalent fractions with common denominator 12 = LCM (3, 4).

For 2/3, multiply the numerator and the denominator by 4 to make the denominator 12.

$\dfrac{2}{3} = \dfrac{2 \times 4}{3 \times 4} = \dfrac{8}{12}$.

For 3/4, multiply the numerator and the denominator by 3 to make the denominator 12.

$\dfrac{3}{4} = \dfrac{3 \times 3}{4 \times 3} = \dfrac{9}{12}$.

Step 3: Now compare the numerators.

As 8 < 9, we have that

$\dfrac{8}{12} < \dfrac{9}{12}$.

This implies that

$\dfrac{2}{3} < \dfrac{3}{4}$.

Therefore, the fraction 3/4 is greater than 2/3.

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

Video Solution on Which Fraction is Bigger 2/3 or 3/4:

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