Simplify 270/900 to Lowest Terms
270/900 simplified to its lowest terms is 3/10 (or 0.3 in decimal). See how to reduce 270/900 using Greatest Common Divisor (GCD = 90).
Exact Answer
270/900 = 3/10
Simplified Fraction
3/10
Mixed Number
Proper (3/10)
Decimal Value
0.3
Percentage
30%
Step-by-Step Solution: 270/900 = 3/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 270:
• Factors of 900:
• Factors of 270:
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270• Factors of 900:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45
GCD(270, 900) = 90
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 90. Divide both the numerator (270) and denominator (900) by 90.
270 ÷ 90/900 ÷ 90 = 3/10
Visual Representation
The diagram below illustrates Simplify 270/900 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/10 |
| Mixed Number Form | 3/10 |
| Decimal Form | 0.3 |
| Percentage | 30% |
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Frequently Asked Questions
What is 270/900 in simplest form?
270/900 simplified to lowest terms is 3/10.
What is the GCD (GCF) of 270 and 900?
The Greatest Common Divisor (GCD) of 270 and 900 is 90.
What are equivalent fractions to 270/900?
Equivalent fractions to 270/900 include 6/20, 9/30, and 12/40.