Is 1/3 Greater Than 3/4? Comparing Fractions

Between 1/3 and 3/4, the fraction 3/4 is greater. If we compare 1/3 and 3/4, then 3/4 is the bigger fraction.

To compare 1/3 and 3/4, first we need to convert them to equivalent fractions with the same denominator. Then compare the numerators. The fraction with the greater numerator will be the larger fraction.

For details about fractions, see the page on “Fractions“.

Is 3/4 Greater Than 1/3?

Answer: Yes, 3/4 is greater than 1/3.

Explanation:

The denominators of 1/3 and 1/4 are 3 and 4 respectively. Let us convert these fractions to equivalent fractions with the same denominator (which will be least common multiple of 3 and 4).

Step 1: Finding Common Denominator.

Let us find the least common multiple (LCM) of 3 and 4.

The multiples of 3 are 3, 6, 9, 12, 15, 18, etc. The multiples of 4 are 4, 8, 12, 16, 20, etc.

So the least common multiple of 3 and 4 is 12. That is,

LCM (3, 4) = 12.

Step 2: Convert to Equivalent Fractions with Common Denominator

Let us now convert 1/3 and 3/4 to equivalent fractions with common denominator 12. For 1/3, we will multiply the numerator and the denominator by 4 to make the denominator 12 = LCM (3, 4).

$\dfrac{1}{3} = \dfrac{1 \times 4}{3 \times 4} = \dfrac{4}{12}$.

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 4 < 9, we have that

$\dfrac{4}{12} < \dfrac{9}{12}$.

This implies that

$\dfrac{1}{3} < \dfrac{3}{4}$.

Therefore, the fraction 1/3 is less than 3/4.

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

1/3 or 3/4 Which Fraction is Larger?

We can compare 1/3 and 3/4 by converting them to decimals. Note that

$\dfrac{1}{3}=0.333$ $\dfrac{3}{4}=0.75$

Now compare the decimals 0.333 and 0.75. As 0.75 > 0.333, we conclude that the fraction 3/4 is larger than 1/3.

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