Simplify 80/200 to Lowest Terms
80/200 simplified to its lowest terms is 2/5 (or 0.4 in decimal). See how to reduce 80/200 using Greatest Common Divisor (GCD = 40).
Exact Answer
80/200 = 2/5
Simplified Fraction
2/5
Mixed Number
Proper (2/5)
Decimal Value
0.4
Percentage
40%
Step-by-Step Solution: 80/200 = 2/5
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 80:
• Factors of 200:
• Factors of 80:
1, 2, 4, 5, 8, 10, 16, 20, 40, 80• Factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD(80, 200) = 40
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 40. Divide both the numerator (80) and denominator (200) by 40.
80 ÷ 40/200 ÷ 40 = 2/5
Visual Representation
The diagram below illustrates Simplify 80/200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/5 |
| Mixed Number Form | 2/5 |
| Decimal Form | 0.4 |
| Percentage | 40% |
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Frequently Asked Questions
What is 80/200 in simplest form?
80/200 simplified to lowest terms is 2/5.
What is the GCD (GCF) of 80 and 200?
The Greatest Common Divisor (GCD) of 80 and 200 is 40.
What are equivalent fractions to 80/200?
Equivalent fractions to 80/200 include 4/10, 6/15, and 8/20.