Simplify 60/84 to Lowest Terms
60/84 simplified to its lowest terms is 5/7 (or 0.714286 in decimal). See how to reduce 60/84 using Greatest Common Divisor (GCD = 12).
Exact Answer
60/84 = 5/7
Simplified Fraction
5/7
Mixed Number
Proper (5/7)
Decimal Value
0.714286
Percentage
71.4286%
Step-by-Step Solution: 60/84 = 5/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 60:
• Factors of 84:
• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD(60, 84) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (60) and denominator (84) by 12.
60 ÷ 12/84 ÷ 12 = 5/7
Visual Representation
The diagram below illustrates Simplify 60/84 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/7 |
| Mixed Number Form | 5/7 |
| Decimal Form | 0.714286 |
| Percentage | 71.4286% |
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Frequently Asked Questions
What is 60/84 in simplest form?
60/84 simplified to lowest terms is 5/7.
What is the GCD (GCF) of 60 and 84?
The Greatest Common Divisor (GCD) of 60 and 84 is 12.
What are equivalent fractions to 60/84?
Equivalent fractions to 60/84 include 10/14, 15/21, and 20/28.