Simplify 24/84 to Lowest Terms
24/84 simplified to its lowest terms is 2/7 (or 0.285714 in decimal). See how to reduce 24/84 using Greatest Common Divisor (GCD = 12).
Exact Answer
24/84 = 2/7
Simplified Fraction
2/7
Mixed Number
Proper (2/7)
Decimal Value
0.285714
Percentage
28.5714%
Step-by-Step Solution: 24/84 = 2/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 24:
โข Factors of 84:
โข Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24โข Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD(24, 84) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (24) and denominator (84) by 12.
24 รท 12/84 รท 12 = 2/7
Visual Representation
The diagram below illustrates Simplify 24/84 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/7 |
| Mixed Number Form | 2/7 |
| Decimal Form | 0.285714 |
| Percentage | 28.5714% |
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Frequently Asked Questions
What is 24/84 in simplest form?
24/84 simplified to lowest terms is 2/7.
What is the GCD (GCF) of 24 and 84?
The Greatest Common Divisor (GCD) of 24 and 84 is 12.
What are equivalent fractions to 24/84?
Equivalent fractions to 24/84 include 4/14, 6/21, and 8/28.