Simplify 30/36 to Lowest Terms
30/36 simplified to its lowest terms is 5/6 (or 0.833333 in decimal). See how to reduce 30/36 using Greatest Common Divisor (GCD = 6).
Exact Answer
30/36 = 5/6
Simplified Fraction
5/6
Mixed Number
Proper (5/6)
Decimal Value
0.833333
Percentage
83.3333%
Step-by-Step Solution: 30/36 = 5/6
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 36:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
GCD(30, 36) = 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 (36) by 6.
30 ÷ 6/36 ÷ 6 = 5/6
Visual Representation
The diagram below illustrates Simplify 30/36 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/6 |
| Mixed Number Form | 5/6 |
| Decimal Form | 0.833333 |
| Percentage | 83.3333% |
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Frequently Asked Questions
What is 30/36 in simplest form?
30/36 simplified to lowest terms is 5/6.
What is the GCD (GCF) of 30 and 36?
The Greatest Common Divisor (GCD) of 30 and 36 is 6.
What are equivalent fractions to 30/36?
Equivalent fractions to 30/36 include 10/12, 15/18, and 20/24.