Simplify 600/800 to Lowest Terms
600/800 simplified to its lowest terms is 3/4 (or 0.75 in decimal). See how to reduce 600/800 using Greatest Common Divisor (GCD = 200).
Exact Answer
600/800 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 600/800 = 3/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 600:
• Factors of 800:
• Factors of 600:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50• Factors of 800:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200
GCD(600, 800) = 200
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 200. Divide both the numerator (600) and denominator (800) by 200.
600 ÷ 200/800 ÷ 200 = 3/4
Visual Representation
The diagram below illustrates Simplify 600/800 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 600/800 in simplest form?
600/800 simplified to lowest terms is 3/4.
What is the GCD (GCF) of 600 and 800?
The Greatest Common Divisor (GCD) of 600 and 800 is 200.
What are equivalent fractions to 600/800?
Equivalent fractions to 600/800 include 6/8, 9/12, and 12/16.