Simplify 72/100 to Lowest Terms
72/100 simplified to its lowest terms is 18/25 (or 0.72 in decimal). See how to reduce 72/100 using Greatest Common Divisor (GCD = 4).
Exact Answer
72/100 = 18/25
Simplified Fraction
18/25
Mixed Number
Proper (18/25)
Decimal Value
0.72
Percentage
72%
Step-by-Step Solution: 72/100 = 18/25
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 100:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 100:
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD(72, 100) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (72) and denominator (100) by 4.
72 ÷ 4/100 ÷ 4 = 18/25
Visual Representation
The diagram below illustrates Simplify 72/100 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 18/25 |
| Mixed Number Form | 18/25 |
| Decimal Form | 0.72 |
| Percentage | 72% |
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Frequently Asked Questions
What is 72/100 in simplest form?
72/100 simplified to lowest terms is 18/25.
What is the GCD (GCF) of 72 and 100?
The Greatest Common Divisor (GCD) of 72 and 100 is 4.
What are equivalent fractions to 72/100?
Equivalent fractions to 72/100 include 36/50, 54/75, and 72/100.