Simplify 30/28 to Lowest Terms
30/28 simplified to its lowest terms is 15/14 (or 1.071429 in decimal). See how to reduce 30/28 using Greatest Common Divisor (GCD = 2).
Exact Answer
30/28 = 15/14
Simplified Fraction
15/14
Mixed Number
1 1/14
Decimal Value
1.071429
Percentage
107.1429%
Step-by-Step Solution: 30/28 = 15/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 28:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 28:
1, 2, 4, 7, 14, 28
GCD(30, 28) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (30) and denominator (28) by 2.
30 ÷ 2/28 ÷ 2 = 15/14
Step 3
Convert Improper Fraction to a Mixed Number
Because 15 is larger than 14, 15/14 can also be written as the mixed number 1 1/14.
15/14 = 11/14
Visual Representation
The diagram below illustrates Simplify 30/28 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 15/14 |
| Mixed Number Form | 1 1/14 |
| Decimal Form | 1.071429 |
| Percentage | 107.1429% |
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Frequently Asked Questions
What is 30/28 in simplest form?
30/28 simplified to lowest terms is 15/14.
What is the GCD (GCF) of 30 and 28?
The Greatest Common Divisor (GCD) of 30 and 28 is 2.
What are equivalent fractions to 30/28?
Equivalent fractions to 30/28 include 30/28, 45/42, and 60/56.