Simplify 72/256 to Lowest Terms
72/256 simplified to its lowest terms is 9/32 (or 0.28125 in decimal). See how to reduce 72/256 using Greatest Common Divisor (GCD = 8).
Exact Answer
72/256 = 9/32
Simplified Fraction
9/32
Mixed Number
Proper (9/32)
Decimal Value
0.28125
Percentage
28.125%
Step-by-Step Solution: 72/256 = 9/32
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 256:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 256:
1, 2, 4, 8, 16, 32, 64, 128, 256
GCD(72, 256) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (72) and denominator (256) by 8.
72 ÷ 8/256 ÷ 8 = 9/32
Visual Representation
The diagram below illustrates Simplify 72/256 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/32 |
| Mixed Number Form | 9/32 |
| Decimal Form | 0.28125 |
| Percentage | 28.125% |
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Frequently Asked Questions
What is 72/256 in simplest form?
72/256 simplified to lowest terms is 9/32.
What is the GCD (GCF) of 72 and 256?
The Greatest Common Divisor (GCD) of 72 and 256 is 8.
What are equivalent fractions to 72/256?
Equivalent fractions to 72/256 include 18/64, 27/96, and 36/128.