Simplify 900/850 to Lowest Terms
900/850 simplified to its lowest terms is 18/17 (or 1.058824 in decimal). See how to reduce 900/850 using Greatest Common Divisor (GCD = 50).
Exact Answer
900/850 = 18/17
Simplified Fraction
18/17
Mixed Number
1 1/17
Decimal Value
1.058824
Percentage
105.8824%
Step-by-Step Solution: 900/850 = 18/17
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 900:
• Factors of 850:
• Factors of 900:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45• Factors of 850:
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
GCD(900, 850) = 50
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 50. Divide both the numerator (900) and denominator (850) by 50.
900 ÷ 50/850 ÷ 50 = 18/17
Step 3
Convert Improper Fraction to a Mixed Number
Because 18 is larger than 17, 18/17 can also be written as the mixed number 1 1/17.
18/17 = 11/17
Visual Representation
The diagram below illustrates Simplify 900/850 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 18/17 |
| Mixed Number Form | 1 1/17 |
| Decimal Form | 1.058824 |
| Percentage | 105.8824% |
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Frequently Asked Questions
What is 900/850 in simplest form?
900/850 simplified to lowest terms is 18/17.
What is the GCD (GCF) of 900 and 850?
The Greatest Common Divisor (GCD) of 900 and 850 is 50.
What are equivalent fractions to 900/850?
Equivalent fractions to 900/850 include 36/34, 54/51, and 72/68.