Is 3/4 Bigger Than 10/11?

Q: Which is bigger: 3/4 or 10/11?

10/11 is bigger. As a decimal, 10/11 = 0.909091 while 3/4 = 0.75.

Q: What is the difference between 3/4 and 10/11?

The difference is 7/44, which equals 0.159091 in decimal form (15.9091 percentage points).

Q: How do you compare 3/4 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 3/4.

No, 3/4 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.

Fraction Comparison Calculator

First Fraction

Second Fraction

Please enter valid numbers. Denominators cannot be zero.

🔄 Want to compare different fractions? Change the numbers above and click Compare again.

More Fraction Comparisons

How to Compare $\frac{3}{4}$ and $\frac{10}{11}$ Step by Step

Wondering how to figure out which fraction is bigger without a calculator? Comparing $\frac{3}{4}$ 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 4 and 11, and the least common denominator (LCD) is 44.

Step 1. Convert $\frac{3}{4}$: multiply numerator and denominator by 11. $\frac{3}{4} = \frac{3 \times 11}{4 \times 11} = \frac{33}{44}$
Step 2. Convert $\frac{10}{11}$: multiply numerator and denominator by 4. $\frac{10}{11} = \frac{10 \times 4}{11 \times 4} = \frac{40}{44}$
Step 3. Compare the numerators: 33 vs 40.
Step 4. Since 33 is less than 40, we know that $\frac{3}{4} < \frac{10}{11}$.

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: $3 \times 11 = 33$.
Step 2. Multiply the numerator of the second fraction by the denominator of the first: $10 \times 4 = 40$.
Step 3. Compare the products: $33 < 40$, so $\frac{3}{4} < \frac{10}{11}$.

Method 3: Decimal Comparison

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

$\frac{3}{4}$ as a decimal 0.75

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

Difference 0.159091

Since 0.75 is less than 0.909091, we confirm that $\frac{3}{4} < \frac{10}{11}$. In percentage terms, $\frac{3}{4}$ is 75% and $\frac{10}{11}$ is 90.9091%, a difference of 15.9091 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 44, we're cutting both quantities into equal-sized pieces. Then 33 pieces vs 40 pieces is a straightforward comparison.

Frequently Asked Questions

Which is bigger: 3/4 or 10/11?

$\frac{10}{11}$ is bigger. As a decimal, $\frac{10}{11}$ = 0.909091 while $\frac{3}{4}$ = 0.75.

What is the difference between 3/4 and 10/11?

The difference is $\frac{7}{44}$, which equals 0.159091 in decimal form (15.9091 percentage points).

How do you compare 3/4 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 $\frac{10}{11}$ $>$ $\frac{3}{4}$.

Keep Learning

📖 Learn how to compare any fractions step-by-step →