Simplify 180/402 to Lowest Terms
180/402 simplified to its lowest terms is 30/67 (or 0.447761 in decimal). See how to reduce 180/402 using Greatest Common Divisor (GCD = 6).
Exact Answer
180/402 = 30/67
Simplified Fraction
30/67
Mixed Number
Proper (30/67)
Decimal Value
0.447761
Percentage
44.7761%
Step-by-Step Solution: 180/402 = 30/67
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 180:
• Factors of 402:
• Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60• Factors of 402:
1, 2, 3, 6, 67, 134, 201, 402
GCD(180, 402) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (180) and denominator (402) by 6.
180 ÷ 6/402 ÷ 6 = 30/67
Visual Representation
The diagram below illustrates Simplify 180/402 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 30/67 |
| Mixed Number Form | 30/67 |
| Decimal Form | 0.447761 |
| Percentage | 44.7761% |
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Frequently Asked Questions
What is 180/402 in simplest form?
180/402 simplified to lowest terms is 30/67.
What is the GCD (GCF) of 180 and 402?
The Greatest Common Divisor (GCD) of 180 and 402 is 6.
What are equivalent fractions to 180/402?
Equivalent fractions to 180/402 include 60/134, 90/201, and 120/268.