Is 8/9 Bigger Than 11/12?

Q: Which is bigger: 8/9 or 11/12?

11/12 is bigger. As a decimal, 11/12 = 0.916667 while 8/9 = 0.888889.

Q: What is the difference between 8/9 and 11/12?

The difference is 1/36, which equals 0.027778 in decimal form (2.7778 percentage points).

Q: How do you compare 8/9 and 11/12?

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 11/12 is greater than 8/9.

No, 8/9 is not bigger than 11/12. 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 $\frac{8}{9}$ and $\frac{11}{12}$ Step by Step

Wondering how to figure out which fraction is bigger without a calculator? Comparing $\frac{8}{9}$ and $\frac{11}{12}$ 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 9 and 12, and the least common denominator (LCD) is 36.

Step 1. Convert $\frac{8}{9}$: multiply numerator and denominator by 4. $\frac{8}{9} = \frac{8 \times 4}{9 \times 4} = \frac{32}{36}$
Step 2. Convert $\frac{11}{12}$: multiply numerator and denominator by 3. $\frac{11}{12} = \frac{11 \times 3}{12 \times 3} = \frac{33}{36}$
Step 3. Compare the numerators: 32 vs 33.
Step 4. Since 32 is less than 33, we know that $\frac{8}{9} < \frac{11}{12}$.

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: $8 \times 12 = 96$.
Step 2. Multiply the numerator of the second fraction by the denominator of the first: $11 \times 9 = 99$.
Step 3. Compare the products: $96 < 99$, so $\frac{8}{9} < \frac{11}{12}$.

Method 3: Decimal Comparison

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

$\frac{8}{9}$ as a decimal 0.888889

$\frac{11}{12}$ as a decimal 0.916667

Difference 0.027778

Since 0.888889 is less than 0.916667, we confirm that $\frac{8}{9} < \frac{11}{12}$. In percentage terms, $\frac{8}{9}$ is 88.8889% and $\frac{11}{12}$ is 91.6667%, a difference of 2.7778 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 36, we're cutting both quantities into equal-sized pieces. Then 32 pieces vs 33 pieces is a straightforward comparison.

Frequently Asked Questions

Which is bigger: 8/9 or 11/12?

$\frac{11}{12}$ is bigger. As a decimal, $\frac{11}{12}$ = 0.916667 while $\frac{8}{9}$ = 0.888889.

What is the difference between 8/9 and 11/12?

The difference is $\frac{1}{36}$, which equals 0.027778 in decimal form (2.7778 percentage points).

How do you compare 8/9 and 11/12?

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 $\frac{11}{12}$ $>$ $\frac{8}{9}$.

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