Simplify 30/24 to Lowest Terms
30/24 simplified to its lowest terms is 5/4 (or 1.25 in decimal). See how to reduce 30/24 using Greatest Common Divisor (GCD = 6).
Exact Answer
30/24 = 5/4
Simplified Fraction
5/4
Mixed Number
1 1/4
Decimal Value
1.25
Percentage
125%
Step-by-Step Solution: 30/24 = 5/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 24:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24
GCD(30, 24) = 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 (24) by 6.
30 ÷ 6/24 ÷ 6 = 5/4
Step 3
Convert Improper Fraction to a Mixed Number
Because 5 is larger than 4, 5/4 can also be written as the mixed number 1 1/4.
5/4 = 11/4
Visual Representation
The diagram below illustrates Simplify 30/24 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/4 |
| Mixed Number Form | 1 1/4 |
| Decimal Form | 1.25 |
| Percentage | 125% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 30/24 in simplest form?
30/24 simplified to lowest terms is 5/4.
What is the GCD (GCF) of 30 and 24?
The Greatest Common Divisor (GCD) of 30 and 24 is 6.
What are equivalent fractions to 30/24?
Equivalent fractions to 30/24 include 10/8, 15/12, and 20/16.