Simplify 84/96 to Lowest Terms
84/96 simplified to its lowest terms is 7/8 (or 0.875 in decimal). See how to reduce 84/96 using Greatest Common Divisor (GCD = 12).
Exact Answer
84/96 = 7/8
Simplified Fraction
7/8
Mixed Number
Proper (7/8)
Decimal Value
0.875
Percentage
87.5%
Step-by-Step Solution: 84/96 = 7/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 96:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
GCD(84, 96) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (84) and denominator (96) by 12.
84 ÷ 12/96 ÷ 12 = 7/8
Visual Representation
The diagram below illustrates Simplify 84/96 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/8 |
| Mixed Number Form | 7/8 |
| Decimal Form | 0.875 |
| Percentage | 87.5% |
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Frequently Asked Questions
What is 84/96 in simplest form?
84/96 simplified to lowest terms is 7/8.
What is the GCD (GCF) of 84 and 96?
The Greatest Common Divisor (GCD) of 84 and 96 is 12.
What are equivalent fractions to 84/96?
Equivalent fractions to 84/96 include 14/16, 21/24, and 28/32.