Simplify 72/420 to Lowest Terms
72/420 simplified to its lowest terms is 6/35 (or 0.171429 in decimal). See how to reduce 72/420 using Greatest Common Divisor (GCD = 12).
Exact Answer
72/420 = 6/35
Simplified Fraction
6/35
Mixed Number
Proper (6/35)
Decimal Value
0.171429
Percentage
17.1429%
Step-by-Step Solution: 72/420 = 6/35
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 420:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(72, 420) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (72) and denominator (420) by 12.
72 ÷ 12/420 ÷ 12 = 6/35
Visual Representation
The diagram below illustrates Simplify 72/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 6/35 |
| Mixed Number Form | 6/35 |
| Decimal Form | 0.171429 |
| Percentage | 17.1429% |
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Frequently Asked Questions
What is 72/420 in simplest form?
72/420 simplified to lowest terms is 6/35.
What is the GCD (GCF) of 72 and 420?
The Greatest Common Divisor (GCD) of 72 and 420 is 12.
What are equivalent fractions to 72/420?
Equivalent fractions to 72/420 include 12/70, 18/105, and 24/140.