Simplify 800/920 to Lowest Terms
800/920 simplified to its lowest terms is 20/23 (or 0.869565 in decimal). See how to reduce 800/920 using Greatest Common Divisor (GCD = 40).
Exact Answer
800/920 = 20/23
Simplified Fraction
20/23
Mixed Number
Proper (20/23)
Decimal Value
0.869565
Percentage
86.9565%
Step-by-Step Solution: 800/920 = 20/23
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 800:
• Factors of 920:
• Factors of 800:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200• Factors of 920:
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD(800, 920) = 40
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 40. Divide both the numerator (800) and denominator (920) by 40.
800 ÷ 40/920 ÷ 40 = 20/23
Visual Representation
The diagram below illustrates Simplify 800/920 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 20/23 |
| Mixed Number Form | 20/23 |
| Decimal Form | 0.869565 |
| Percentage | 86.9565% |
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Frequently Asked Questions
What is 800/920 in simplest form?
800/920 simplified to lowest terms is 20/23.
What is the GCD (GCF) of 800 and 920?
The Greatest Common Divisor (GCD) of 800 and 920 is 40.
What are equivalent fractions to 800/920?
Equivalent fractions to 800/920 include 40/46, 60/69, and 80/92.