Simplify 120/402 to Lowest Terms
120/402 simplified to its lowest terms is 20/67 (or 0.298507 in decimal). See how to reduce 120/402 using Greatest Common Divisor (GCD = 6).
Exact Answer
120/402 = 20/67
Simplified Fraction
20/67
Mixed Number
Proper (20/67)
Decimal Value
0.298507
Percentage
29.8507%
Step-by-Step Solution: 120/402 = 20/67
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 120:
• Factors of 402:
• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120• Factors of 402:
1, 2, 3, 6, 67, 134, 201, 402
GCD(120, 402) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (120) and denominator (402) by 6.
120 ÷ 6/402 ÷ 6 = 20/67
Visual Representation
The diagram below illustrates Simplify 120/402 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 20/67 |
| Mixed Number Form | 20/67 |
| Decimal Form | 0.298507 |
| Percentage | 29.8507% |
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Frequently Asked Questions
What is 120/402 in simplest form?
120/402 simplified to lowest terms is 20/67.
What is the GCD (GCF) of 120 and 402?
The Greatest Common Divisor (GCD) of 120 and 402 is 6.
What are equivalent fractions to 120/402?
Equivalent fractions to 120/402 include 40/134, 60/201, and 80/268.