Simplify 800/650 to Lowest Terms
800/650 simplified to its lowest terms is 16/13 (or 1.230769 in decimal). See how to reduce 800/650 using Greatest Common Divisor (GCD = 50).
Exact Answer
800/650 = 16/13
Simplified Fraction
16/13
Mixed Number
1 3/13
Decimal Value
1.230769
Percentage
123.0769%
Step-by-Step Solution: 800/650 = 16/13
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 800:
• Factors of 650:
• Factors of 800:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200• Factors of 650:
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
GCD(800, 650) = 50
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 50. Divide both the numerator (800) and denominator (650) by 50.
800 ÷ 50/650 ÷ 50 = 16/13
Step 3
Convert Improper Fraction to a Mixed Number
Because 16 is larger than 13, 16/13 can also be written as the mixed number 1 3/13.
16/13 = 13/13
Visual Representation
The diagram below illustrates Simplify 800/650 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 16/13 |
| Mixed Number Form | 1 3/13 |
| Decimal Form | 1.230769 |
| Percentage | 123.0769% |
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Frequently Asked Questions
What is 800/650 in simplest form?
800/650 simplified to lowest terms is 16/13.
What is the GCD (GCF) of 800 and 650?
The Greatest Common Divisor (GCD) of 800 and 650 is 50.
What are equivalent fractions to 800/650?
Equivalent fractions to 800/650 include 32/26, 48/39, and 64/52.