Is 1/2 greater than 3/4? [Solved]

Answer: 3/4 is more than 1/2. Between 1/2 and 3/4, the fraction 3/4 is greater. If we compare 1/2 and 3/4, then 3/4 is the bigger fraction.

In order to compare 1/2 and 3/4, let us first convert them to equivalent fractions with the same denominator. Then compare the numerators. The fraction with the greater numerator will be the larger fraction.

1/2 or 3/4 Which Fraction is Larger?

We can compare 1/2 and 3/4 easily by converting them to decimals. Note that

If we compare the decimals 0.5 and 0.75 we see that 0.75 > 0.5. Therefore, we conclude that the fraction 3/4 is larger than 1/2.

More Comparing Fractions: ½ and ⅓ | ⅔ and ¾

Is 3/4 Greater Than 1/2?

We need to follow the below steps in order to compare 1/2 and 3/4.

Step 1: Finding Common Denominator.

The denominators of $\dfrac{1}{2}$ and $\dfrac{3}{4}$ are respectively 2 and 4. To compare 1/2 and 3/4, we convert these fractions to equivalent fractions with common denominator = least common multiple (LCM) of 2 and 4.

We now find the LCM of 2 and 4.

So the least common multiple of 2 and 4 is 8. That is,

LCM (2, 4) = 8.

Step 2: Convert to Equivalent Fractions with Common Denominator

We now convert 1/2 and 3/4 to equivalent fractions with common denominator 8 = LCM (2, 4).

For 1/2, multiply the numerator and the denominator by 4 to make the denominator 8.

$\dfrac{1}{2} = \dfrac{1 \times 4}{2 \times 4} = \dfrac{4}{8}$.

For 3/4, multiply the numerator and the denominator by 2 to make the denominator 8.

$\dfrac{3}{4} = \dfrac{3 \times 2}{4 \times 2} = \dfrac{6}{8}$.

Step 3: Now compare the numerators.

As 4 < 6, we have that

$\dfrac{4}{8} < \dfrac{6}{8}$.

This implies that

$\dfrac{1}{2} < \dfrac{3}{4}$.

Conclusion: Therefore, the fraction 1/2 is less than 3/4.

More Reading: Is 1/3 Greater Than 3/4?

Compare the fractions ½ and ⅔

FAQs

Q1: Which fraction is greater? 1/2 or 3/4

Answer: Note that 1/2 = 0.5 and 2/3 = 0.75. Comparing them, we have 0.75 > 0.5. So the fraction 3/4 is greater than 1/2.

Q2: Is 1/2 less than 3/4?

Answer: Yes, 1/2 is less than 2/3. This is because 1/2 = 0.5 < 0.75 = 3/4.

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