Simplify 12/40 to Lowest Terms
12/40 simplified to its lowest terms is 3/10 (or 0.3 in decimal). See how to reduce 12/40 using Greatest Common Divisor (GCD = 4).
Exact Answer
12/40 = 3/10
Simplified Fraction
3/10
Mixed Number
Proper (3/10)
Decimal Value
0.3
Percentage
30%
Step-by-Step Solution: 12/40 = 3/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 12:
• Factors of 40:
• Factors of 12:
1, 2, 3, 4, 6, 12• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40
GCD(12, 40) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (12) and denominator (40) by 4.
12 ÷ 4/40 ÷ 4 = 3/10
Visual Representation
The diagram below illustrates Simplify 12/40 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/10 |
| Mixed Number Form | 3/10 |
| Decimal Form | 0.3 |
| Percentage | 30% |
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Frequently Asked Questions
What is 12/40 in simplest form?
12/40 simplified to lowest terms is 3/10.
What is the GCD (GCF) of 12 and 40?
The Greatest Common Divisor (GCD) of 12 and 40 is 4.
What are equivalent fractions to 12/40?
Equivalent fractions to 12/40 include 6/20, 9/30, and 12/40.