Simplify 8200/6750 to Lowest Terms
8200/6750 simplified to its lowest terms is 164/135 (or 1.214815 in decimal). See how to reduce 8200/6750 using Greatest Common Divisor (GCD = 50).
Exact Answer
8200/6750 = 164/135
Simplified Fraction
164/135
Mixed Number
1 29/135
Decimal Value
1.214815
Percentage
121.4815%
Step-by-Step Solution: 8200/6750 = 164/135
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 8200:
• Factors of 6750:
• Factors of 8200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205• Factors of 6750:
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
GCD(8200, 6750) = 50
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 50. Divide both the numerator (8200) and denominator (6750) by 50.
8200 ÷ 50/6750 ÷ 50 = 164/135
Step 3
Convert Improper Fraction to a Mixed Number
Because 164 is larger than 135, 164/135 can also be written as the mixed number 1 29/135.
164/135 = 129/135
Visual Representation
The diagram below illustrates Simplify 8200/6750 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 164/135 |
| Mixed Number Form | 1 29/135 |
| Decimal Form | 1.214815 |
| Percentage | 121.4815% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 8200/6750 in simplest form?
8200/6750 simplified to lowest terms is 164/135.
What is the GCD (GCF) of 8200 and 6750?
The Greatest Common Divisor (GCD) of 8200 and 6750 is 50.
What are equivalent fractions to 8200/6750?
Equivalent fractions to 8200/6750 include 328/270, 492/405, and 656/540.