Simplify 14/40 to Lowest Terms
14/40 simplified to its lowest terms is 7/20 (or 0.35 in decimal). See how to reduce 14/40 using Greatest Common Divisor (GCD = 2).
Exact Answer
14/40 = 7/20
Simplified Fraction
7/20
Mixed Number
Proper (7/20)
Decimal Value
0.35
Percentage
35%
Step-by-Step Solution: 14/40 = 7/20
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 14:
• Factors of 40:
• Factors of 14:
1, 2, 7, 14• Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40
GCD(14, 40) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (14) and denominator (40) by 2.
14 ÷ 2/40 ÷ 2 = 7/20
Visual Representation
The diagram below illustrates Simplify 14/40 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/20 |
| Mixed Number Form | 7/20 |
| Decimal Form | 0.35 |
| Percentage | 35% |
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Frequently Asked Questions
What is 14/40 in simplest form?
14/40 simplified to lowest terms is 7/20.
What is the GCD (GCF) of 14 and 40?
The Greatest Common Divisor (GCD) of 14 and 40 is 2.
What are equivalent fractions to 14/40?
Equivalent fractions to 14/40 include 14/40, 21/60, and 28/80.