Simplify 14/21 to Lowest Terms
14/21 simplified to its lowest terms is 2/3 (or 0.666667 in decimal). See how to reduce 14/21 using Greatest Common Divisor (GCD = 7).
Exact Answer
14/21 = 2/3
Simplified Fraction
2/3
Mixed Number
Proper (2/3)
Decimal Value
0.666667
Percentage
66.6667%
Step-by-Step Solution: 14/21 = 2/3
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 14:
โข Factors of 21:
โข Factors of 14:
1, 2, 7, 14โข Factors of 21:
1, 3, 7, 21
GCD(14, 21) = 7
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 7. Divide both the numerator (14) and denominator (21) by 7.
14 รท 7/21 รท 7 = 2/3
Visual Representation
The diagram below illustrates Simplify 14/21 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/3 |
| Mixed Number Form | 2/3 |
| Decimal Form | 0.666667 |
| Percentage | 66.6667% |
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Frequently Asked Questions
What is 14/21 in simplest form?
14/21 simplified to lowest terms is 2/3.
What is the GCD (GCF) of 14 and 21?
The Greatest Common Divisor (GCD) of 14 and 21 is 7.
What are equivalent fractions to 14/21?
Equivalent fractions to 14/21 include 4/6, 6/9, and 8/12.