Simplify 28/120 to Lowest Terms
28/120 simplified to its lowest terms is 7/30 (or 0.233333 in decimal). See how to reduce 28/120 using Greatest Common Divisor (GCD = 4).
Exact Answer
28/120 = 7/30
Simplified Fraction
7/30
Mixed Number
Proper (7/30)
Decimal Value
0.233333
Percentage
23.3333%
Step-by-Step Solution: 28/120 = 7/30
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 28:
• Factors of 120:
• Factors of 28:
1, 2, 4, 7, 14, 28• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(28, 120) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (28) and denominator (120) by 4.
28 ÷ 4/120 ÷ 4 = 7/30
Visual Representation
The diagram below illustrates Simplify 28/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/30 |
| Mixed Number Form | 7/30 |
| Decimal Form | 0.233333 |
| Percentage | 23.3333% |
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Frequently Asked Questions
What is 28/120 in simplest form?
28/120 simplified to lowest terms is 7/30.
What is the GCD (GCF) of 28 and 120?
The Greatest Common Divisor (GCD) of 28 and 120 is 4.
What are equivalent fractions to 28/120?
Equivalent fractions to 28/120 include 14/60, 21/90, and 28/120.