Is 1/6 Bigger Than 4/9?

Q: Which is bigger: 1/6 or 4/9?

4/9 is bigger. As a decimal, 4/9 = 0.444444 while 1/6 = 0.166667.

Q: What is the difference between 1/6 and 4/9?

The difference is 5/18, which equals 0.277778 in decimal form (27.7778 percentage points).

Q: How do you compare 1/6 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 4/9 is greater than 1/6.

No, 1/6 is not bigger than 4/9. Hit Compare below to see the visual breakdown and step-by-step solution — or change the fractions to compare your own.

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How to Compare $\frac{1}{6}$ and $\frac{4}{9}$ Step by Step

Wondering how to figure out which fraction is bigger without a calculator? Comparing $\frac{1}{6}$ and $\frac{4}{9}$ is straightforward once you know the right approach. Below we walk through three proven methods for comparing fractions: finding a common denominator, cross multiplication, and converting to decimals. Each method will give you the same answer, so choose the one that feels easiest.

Method 1: Common Denominators

To compare these fractions, we need a common denominator. The denominators are 6 and 9, and the least common denominator (LCD) is 18.

Step 1. Convert $\frac{1}{6}$: multiply numerator and denominator by 3. $\frac{1}{6} = \frac{1 \times 3}{6 \times 3} = \frac{3}{18}$
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: 3 vs 8.
Step 4. Since 3 is less than 8, we know that $\frac{1}{6} < \frac{4}{9}$.

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: $4 \times 6 = 24$.
Step 3. Compare the products: $9 < 24$, so $\frac{1}{6} < \frac{4}{9}$.

Method 3: Decimal Comparison

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

$\frac{1}{6}$ as a decimal 0.166667

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

Difference 0.277778

Since 0.166667 is less than 0.444444, we confirm that $\frac{1}{6} < \frac{4}{9}$. In percentage terms, $\frac{1}{6}$ is 16.6667% and $\frac{4}{9}$ is 44.4444%, a difference of 27.7778 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 3 pieces vs 8 pieces is a straightforward comparison.

Frequently Asked Questions

Which is bigger: 1/6 or 4/9?

$\frac{4}{9}$ is bigger. As a decimal, $\frac{4}{9}$ = 0.444444 while $\frac{1}{6}$ = 0.166667.

What is the difference between 1/6 and 4/9?

The difference is $\frac{5}{18}$, which equals 0.277778 in decimal form (27.7778 percentage points).

How do you compare 1/6 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 $\frac{4}{9}$ $>$ $\frac{1}{6}$.

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