Simplify 80/256 to Lowest Terms
80/256 simplified to its lowest terms is 5/16 (or 0.3125 in decimal). See how to reduce 80/256 using Greatest Common Divisor (GCD = 16).
Exact Answer
80/256 = 5/16
Simplified Fraction
5/16
Mixed Number
Proper (5/16)
Decimal Value
0.3125
Percentage
31.25%
Step-by-Step Solution: 80/256 = 5/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 80:
• Factors of 256:
• Factors of 80:
1, 2, 4, 5, 8, 10, 16, 20, 40, 80• Factors of 256:
1, 2, 4, 8, 16, 32, 64, 128, 256
GCD(80, 256) = 16
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (80) and denominator (256) by 16.
80 ÷ 16/256 ÷ 16 = 5/16
Visual Representation
The diagram below illustrates Simplify 80/256 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/16 |
| Mixed Number Form | 5/16 |
| Decimal Form | 0.3125 |
| Percentage | 31.25% |
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Frequently Asked Questions
What is 80/256 in simplest form?
80/256 simplified to lowest terms is 5/16.
What is the GCD (GCF) of 80 and 256?
The Greatest Common Divisor (GCD) of 80 and 256 is 16.
What are equivalent fractions to 80/256?
Equivalent fractions to 80/256 include 10/32, 15/48, and 20/64.