Simplify 420/600 to Lowest Terms
420/600 simplified to its lowest terms is 7/10 (or 0.7 in decimal). See how to reduce 420/600 using Greatest Common Divisor (GCD = 60).
Exact Answer
420/600 = 7/10
Simplified Fraction
7/10
Mixed Number
Proper (7/10)
Decimal Value
0.7
Percentage
70%
Step-by-Step Solution: 420/600 = 7/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 420:
• Factors of 600:
• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35• Factors of 600:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50
GCD(420, 600) = 60
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 60. Divide both the numerator (420) and denominator (600) by 60.
420 ÷ 60/600 ÷ 60 = 7/10
Visual Representation
The diagram below illustrates Simplify 420/600 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/10 |
| Mixed Number Form | 7/10 |
| Decimal Form | 0.7 |
| Percentage | 70% |
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Frequently Asked Questions
What is 420/600 in simplest form?
420/600 simplified to lowest terms is 7/10.
What is the GCD (GCF) of 420 and 600?
The Greatest Common Divisor (GCD) of 420 and 600 is 60.
What are equivalent fractions to 420/600?
Equivalent fractions to 420/600 include 14/20, 21/30, and 28/40.