Simplify 72/84 to Lowest Terms
72/84 simplified to its lowest terms is 6/7 (or 0.857143 in decimal). See how to reduce 72/84 using Greatest Common Divisor (GCD = 12).
Exact Answer
72/84 = 6/7
Simplified Fraction
6/7
Mixed Number
Proper (6/7)
Decimal Value
0.857143
Percentage
85.7143%
Step-by-Step Solution: 72/84 = 6/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 84:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD(72, 84) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (72) and denominator (84) by 12.
72 ÷ 12/84 ÷ 12 = 6/7
Visual Representation
The diagram below illustrates Simplify 72/84 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 6/7 |
| Mixed Number Form | 6/7 |
| Decimal Form | 0.857143 |
| Percentage | 85.7143% |
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Frequently Asked Questions
What is 72/84 in simplest form?
72/84 simplified to lowest terms is 6/7.
What is the GCD (GCF) of 72 and 84?
The Greatest Common Divisor (GCD) of 72 and 84 is 12.
What are equivalent fractions to 72/84?
Equivalent fractions to 72/84 include 12/14, 18/21, and 24/28.