Simplify 90/200 to Lowest Terms
90/200 simplified to its lowest terms is 9/20 (or 0.45 in decimal). See how to reduce 90/200 using Greatest Common Divisor (GCD = 10).
Exact Answer
90/200 = 9/20
Simplified Fraction
9/20
Mixed Number
Proper (9/20)
Decimal Value
0.45
Percentage
45%
Step-by-Step Solution: 90/200 = 9/20
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 90:
• Factors of 200:
• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90• Factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD(90, 200) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (90) and denominator (200) by 10.
90 ÷ 10/200 ÷ 10 = 9/20
Visual Representation
The diagram below illustrates Simplify 90/200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/20 |
| Mixed Number Form | 9/20 |
| Decimal Form | 0.45 |
| Percentage | 45% |
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Frequently Asked Questions
What is 90/200 in simplest form?
90/200 simplified to lowest terms is 9/20.
What is the GCD (GCF) of 90 and 200?
The Greatest Common Divisor (GCD) of 90 and 200 is 10.
What are equivalent fractions to 90/200?
Equivalent fractions to 90/200 include 18/40, 27/60, and 36/80.