Is 1/10 Bigger Than 11/12?

No, 1/10 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 \(\frac{1}{10}\) and \(\frac{11}{12}\) Step by Step

Wondering how to figure out which fraction is bigger without a calculator? Comparing \(\frac{1}{10}\) 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 10 and 12, and the least common denominator (LCD) is 60.

Method 2: Cross Multiplication

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

Method 3: Decimal Comparison

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

\(\frac{1}{10}\) as a decimal 0.1
\(\frac{11}{12}\) as a decimal 0.916667
Difference 0.816667

Since 0.1 is less than 0.916667, we confirm that \(\frac{1}{10} < \frac{11}{12}\). In percentage terms, \(\frac{1}{10}\) is 10% and \(\frac{11}{12}\) is 91.6667%, a difference of 81.6667 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 60, we're cutting both quantities into equal-sized pieces. Then 6 pieces vs 55 pieces is a straightforward comparison.

Frequently Asked Questions

Which is bigger: 1/10 or 11/12?

\(\frac{11}{12}\) is bigger. As a decimal, \(\frac{11}{12}\) = 0.916667 while \(\frac{1}{10}\) = 0.1.

What is the difference between 1/10 and 11/12?

The difference is \(\frac{49}{60}\), which equals 0.816667 in decimal form (81.6667 percentage points).

How do you compare 1/10 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 \(\frac{11}{12}\) \(>\) \(\frac{1}{10}\).