Simplify 72/240 to Lowest Terms
72/240 simplified to its lowest terms is 3/10 (or 0.3 in decimal). See how to reduce 72/240 using Greatest Common Divisor (GCD = 24).
Exact Answer
72/240 = 3/10
Simplified Fraction
3/10
Mixed Number
Proper (3/10)
Decimal Value
0.3
Percentage
30%
Step-by-Step Solution: 72/240 = 3/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 240:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48
GCD(72, 240) = 24
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (72) and denominator (240) by 24.
72 ÷ 24/240 ÷ 24 = 3/10
Visual Representation
The diagram below illustrates Simplify 72/240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/10 |
| Mixed Number Form | 3/10 |
| Decimal Form | 0.3 |
| Percentage | 30% |
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Frequently Asked Questions
What is 72/240 in simplest form?
72/240 simplified to lowest terms is 3/10.
What is the GCD (GCF) of 72 and 240?
The Greatest Common Divisor (GCD) of 72 and 240 is 24.
What are equivalent fractions to 72/240?
Equivalent fractions to 72/240 include 6/20, 9/30, and 12/40.