Simplify 30/72 to Lowest Terms
30/72 simplified to its lowest terms is 5/12 (or 0.416667 in decimal). See how to reduce 30/72 using Greatest Common Divisor (GCD = 6).
Exact Answer
30/72 = 5/12
Simplified Fraction
5/12
Mixed Number
Proper (5/12)
Decimal Value
0.416667
Percentage
41.6667%
Step-by-Step Solution: 30/72 = 5/12
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 72:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD(30, 72) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (30) and denominator (72) by 6.
30 ÷ 6/72 ÷ 6 = 5/12
Visual Representation
The diagram below illustrates Simplify 30/72 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/12 |
| Mixed Number Form | 5/12 |
| Decimal Form | 0.416667 |
| Percentage | 41.6667% |
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Frequently Asked Questions
What is 30/72 in simplest form?
30/72 simplified to lowest terms is 5/12.
What is the GCD (GCF) of 30 and 72?
The Greatest Common Divisor (GCD) of 30 and 72 is 6.
What are equivalent fractions to 30/72?
Equivalent fractions to 30/72 include 10/24, 15/36, and 20/48.