Simplify 126/420 to Lowest Terms
126/420 simplified to its lowest terms is 3/10 (or 0.3 in decimal). See how to reduce 126/420 using Greatest Common Divisor (GCD = 42).
Exact Answer
126/420 = 3/10
Simplified Fraction
3/10
Mixed Number
Proper (3/10)
Decimal Value
0.3
Percentage
30%
Step-by-Step Solution: 126/420 = 3/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 126:
• Factors of 420:
• Factors of 126:
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(126, 420) = 42
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 42. Divide both the numerator (126) and denominator (420) by 42.
126 ÷ 42/420 ÷ 42 = 3/10
Visual Representation
The diagram below illustrates Simplify 126/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/10 |
| Mixed Number Form | 3/10 |
| Decimal Form | 0.3 |
| Percentage | 30% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 126/420 in simplest form?
126/420 simplified to lowest terms is 3/10.
What is the GCD (GCF) of 126 and 420?
The Greatest Common Divisor (GCD) of 126 and 420 is 42.
What are equivalent fractions to 126/420?
Equivalent fractions to 126/420 include 6/20, 9/30, and 12/40.