Is 1/2 Bigger Than 4/9?

Q: Which is bigger: 1/2 or 4/9?

1/2 is bigger. As a decimal, 1/2 = 0.5 while 4/9 = 0.444444.

Q: What is the difference between 1/2 and 4/9?

The difference is 1/18, which equals 0.055556 in decimal form (5.5556 percentage points).

Yes, $\frac{1}{2}$ > $\frac{4}{9}$

$\frac{1}{2}$

50%

$\frac{4}{9}$

44.4444%

Method 1: Common Denominators

To compare these fractions, we need a common denominator. The denominators are 2 and 9, and the least common denominator (LCD) is 18.

Step 1. Convert $\frac{1}{2}$: multiply numerator and denominator by 9. $\frac{1}{2} = \frac{1 \times 9}{2 \times 9} = \frac{9}{18}$
Step 2. Convert $\frac{4}{9}$: multiply numerator and denominator by 2. $\frac{4}{9} = \frac{4 \times 2}{9 \times 2} = \frac{8}{18}$
Step 3. Compare the numerators: 9 vs 8.
Step 4. Since 9 is greater than 8, we know that $\frac{1}{2} > \frac{4}{9}$.

Method 2: Cross Multiplication

A quicker way to compare fractions is to cross-multiply. Multiply each numerator by the other fraction's denominator:

Step 1. Multiply the numerator of the first fraction by the denominator of the second: $1 \times 9 = 9$.
Step 2. Multiply the numerator of the second fraction by the denominator of the first: $4 \times 2 = 8$.
Step 3. Compare the products: $9 > 8$, so $\frac{1}{2} > \frac{4}{9}$.

Method 3: Decimal Comparison

Convert each fraction to a decimal by dividing the numerator by the denominator:

$\frac{1}{2}$ as a decimal 0.5

$\frac{4}{9}$ as a decimal 0.444444

Difference 0.055556

Since 0.5 is greater than 0.444444, we confirm that $\frac{1}{2} > \frac{4}{9}$. In percentage terms, $\frac{1}{2}$ is 50% and $\frac{4}{9}$ is 44.4444%, a difference of 5.5556 percentage points.

Why Does This Work?

These fractions have different numerators and different denominators, so we can't compare them directly. By converting to a common denominator of 18, we're cutting both quantities into equal-sized pieces. Then 9 pieces vs 8 pieces is a straightforward comparison.

Frequently Asked Questions

Which is bigger: 1/2 or 4/9?

$\frac{1}{2}$ is bigger. As a decimal, $\frac{1}{2}$ = 0.5 while $\frac{4}{9}$ = 0.444444.

What is the difference between 1/2 and 4/9?

The difference is $\frac{1}{18}$, which equals 0.055556 in decimal form (5.5556 percentage points).

How do you compare 1/2 and 4/9?

You can use three methods: find a common denominator and compare numerators, cross-multiply and compare the products, or convert both fractions to decimals. All three methods confirm that $\frac{1}{2}$ $>$ $\frac{4}{9}$.

Keep Learning

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