Simplify 420/1600 to Lowest Terms
420/1600 simplified to its lowest terms is 21/80 (or 0.2625 in decimal). See how to reduce 420/1600 using Greatest Common Divisor (GCD = 20).
Exact Answer
420/1600 = 21/80
Simplified Fraction
21/80
Mixed Number
Proper (21/80)
Decimal Value
0.2625
Percentage
26.25%
Step-by-Step Solution: 420/1600 = 21/80
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 420:
• Factors of 1600:
• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35• Factors of 1600:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160
GCD(420, 1600) = 20
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (420) and denominator (1600) by 20.
420 ÷ 20/1600 ÷ 20 = 21/80
Visual Representation
The diagram below illustrates Simplify 420/1600 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/80 |
| Mixed Number Form | 21/80 |
| Decimal Form | 0.2625 |
| Percentage | 26.25% |
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Frequently Asked Questions
What is 420/1600 in simplest form?
420/1600 simplified to lowest terms is 21/80.
What is the GCD (GCF) of 420 and 1600?
The Greatest Common Divisor (GCD) of 420 and 1600 is 20.
What are equivalent fractions to 420/1600?
Equivalent fractions to 420/1600 include 42/160, 63/240, and 84/320.