Is 5/9 Bigger Than 10/11?

Q: Which is bigger: 5/9 or 10/11?

10/11 is bigger. As a decimal, 10/11 = 0.909091 while 5/9 = 0.555556.

Q: What is the difference between 5/9 and 10/11?

The difference is 35/99, which equals 0.353535 in decimal form (35.3535 percentage points).

Q: How do you compare 5/9 and 10/11?

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 10/11 is greater than 5/9.

No, 5/9 is not bigger than 10/11. 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 $\frac{5}{9}$ and $\frac{10}{11}$ Step by Step

Wondering how to figure out which fraction is bigger without a calculator? Comparing $\frac{5}{9}$ and $\frac{10}{11}$ 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 11, and the least common denominator (LCD) is 99.

Step 1. Convert $\frac{5}{9}$: multiply numerator and denominator by 11. $\frac{5}{9} = \frac{5 \times 11}{9 \times 11} = \frac{55}{99}$
Step 2. Convert $\frac{10}{11}$: multiply numerator and denominator by 9. $\frac{10}{11} = \frac{10 \times 9}{11 \times 9} = \frac{90}{99}$
Step 3. Compare the numerators: 55 vs 90.
Step 4. Since 55 is less than 90, we know that $\frac{5}{9} < \frac{10}{11}$.

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: $5 \times 11 = 55$.
Step 2. Multiply the numerator of the second fraction by the denominator of the first: $10 \times 9 = 90$.
Step 3. Compare the products: $55 < 90$, so $\frac{5}{9} < \frac{10}{11}$.

Method 3: Decimal Comparison

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

$\frac{5}{9}$ as a decimal 0.555556

$\frac{10}{11}$ as a decimal 0.909091

Difference 0.353535

Since 0.555556 is less than 0.909091, we confirm that $\frac{5}{9} < \frac{10}{11}$. In percentage terms, $\frac{5}{9}$ is 55.5556% and $\frac{10}{11}$ is 90.9091%, a difference of 35.3535 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 99, we're cutting both quantities into equal-sized pieces. Then 55 pieces vs 90 pieces is a straightforward comparison.

Frequently Asked Questions

Which is bigger: 5/9 or 10/11?

$\frac{10}{11}$ is bigger. As a decimal, $\frac{10}{11}$ = 0.909091 while $\frac{5}{9}$ = 0.555556.

What is the difference between 5/9 and 10/11?

The difference is $\frac{35}{99}$, which equals 0.353535 in decimal form (35.3535 percentage points).

How do you compare 5/9 and 10/11?

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 $\frac{10}{11}$ $>$ $\frac{5}{9}$.

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