Simplify 72/128 to Lowest Terms
72/128 simplified to its lowest terms is 9/16 (or 0.5625 in decimal). See how to reduce 72/128 using Greatest Common Divisor (GCD = 8).
Exact Answer
72/128 = 9/16
Simplified Fraction
9/16
Mixed Number
Proper (9/16)
Decimal Value
0.5625
Percentage
56.25%
Step-by-Step Solution: 72/128 = 9/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 128:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 128:
1, 2, 4, 8, 16, 32, 64, 128
GCD(72, 128) = 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 (128) by 8.
72 ÷ 8/128 ÷ 8 = 9/16
Visual Representation
The diagram below illustrates Simplify 72/128 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/16 |
| Mixed Number Form | 9/16 |
| Decimal Form | 0.5625 |
| Percentage | 56.25% |
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Frequently Asked Questions
What is 72/128 in simplest form?
72/128 simplified to lowest terms is 9/16.
What is the GCD (GCF) of 72 and 128?
The Greatest Common Divisor (GCD) of 72 and 128 is 8.
What are equivalent fractions to 72/128?
Equivalent fractions to 72/128 include 18/32, 27/48, and 36/64.