Simplify 10/22 to Lowest Terms
10/22 simplified to its lowest terms is 5/11 (or 0.454545 in decimal). See how to reduce 10/22 using Greatest Common Divisor (GCD = 2).
Exact Answer
10/22 = 5/11
Simplified Fraction
5/11
Mixed Number
Proper (5/11)
Decimal Value
0.454545
Percentage
45.4545%
Step-by-Step Solution: 10/22 = 5/11
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 10:
• Factors of 22:
• Factors of 10:
1, 2, 5, 10• Factors of 22:
1, 2, 11, 22
GCD(10, 22) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (10) and denominator (22) by 2.
10 ÷ 2/22 ÷ 2 = 5/11
Visual Representation
The diagram below illustrates Simplify 10/22 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/11 |
| Mixed Number Form | 5/11 |
| Decimal Form | 0.454545 |
| Percentage | 45.4545% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 10/22 in simplest form?
10/22 simplified to lowest terms is 5/11.
What is the GCD (GCF) of 10 and 22?
The Greatest Common Divisor (GCD) of 10 and 22 is 2.
What are equivalent fractions to 10/22?
Equivalent fractions to 10/22 include 10/22, 15/33, and 20/44.