Simplify 72/144 to Lowest Terms
72/144 simplified to its lowest terms is 1/2 (or 0.5 in decimal). See how to reduce 72/144 using Greatest Common Divisor (GCD = 72).
Exact Answer
72/144 = 1/2
Simplified Fraction
1/2
Mixed Number
Proper (1/2)
Decimal Value
0.5
Percentage
50%
Step-by-Step Solution: 72/144 = 1/2
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 144:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD(72, 144) = 72
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 72. Divide both the numerator (72) and denominator (144) by 72.
72 ÷ 72/144 ÷ 72 = 1/2
Visual Representation
The diagram below illustrates Simplify 72/144 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/2 |
| Mixed Number Form | 1/2 |
| Decimal Form | 0.5 |
| Percentage | 50% |
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Frequently Asked Questions
What is 72/144 in simplest form?
72/144 simplified to lowest terms is 1/2.
What is the GCD (GCF) of 72 and 144?
The Greatest Common Divisor (GCD) of 72 and 144 is 72.
What are equivalent fractions to 72/144?
Equivalent fractions to 72/144 include 2/4, 3/6, and 4/8.